Dranishnikov, Alexander N.

143 papers

3937697
Dranishnikov, Alexander; Sadykov, Rustam
On the LS-category and topological complexity of a connected sum.
Proc. Amer. Math. Soc. 147 (2019), no. 5, 2235-2244.
55M30 (55R05 57N65)

3784392
Bestvina, Mladen; Dranishnikov, Sasha; Ferry, Steve; Ungar, Šime(CT-ZAGR)

Department of Mathematics, University of Zagreb
41000 Zagreb, Croatia
Sibe Mardešić: In memoriam.
Topology Appl. 240 (2018), A1-A2.
01A70

3739623
Dranishnikov, Alexander N.(1-FL)

Department of Mathematics, University of Florida
Gainesville, Florida, 32611
Dimension of compact metric spaces. (English summary)
Indag. Math. (N.S.) 29 (2018), no. 1, 429-449.
54F45 (54E35)

3720882
Dranishnikov, Alexander(1-FL)

Department of Mathematics, University of Florida
Gainesville, Florida, 32611
On topological complexity of non-orientable surfaces. (English summary)
Topology Appl. 232 (2017), 61-69.
55M30 (57N05)

3668013
Dranishnikov, Alexander(1-FL)

Department of Mathematics, University of Florida
Gainesville, Florida, 32611 ; Zarichnyi, Michael(UKR-LVV-MM)

Department of Mechanics and Mathematics, Lʹviv State University
290000 Lʹviv, Ukraine
Remarks on straight finite decomposition complexity. (English summary)
Topology Appl. 227 (2017), 102-110.
54F45 (53C23)

3668006
Antonyan, S.; Dranishnikov, A.; Karassev, A.; Valov, V.;
Special issue in memory of Alex Chigogidze.
Topology Appl. 227 (2017), 1-2.
00B30

3624461
Amarasinghe, Ashwini(1-FL)

Department of Mathematics, University of Florida
Gainesville, Florida, 32611 ; Dranishnikov, Alexander(1-FL)

Department of Mathematics, University of Florida
Gainesville, Florida, 32611
On homology of complements of compact sets in Hilbert cube. (English summary)
Topology Appl. 221 (2017), 262-269.
55M10

3588980
Dranishnikov, A. N.(1-FL)

Department of Mathematics, University of Florida
Gainesville, Florida, 32611
On some problems related to the Hilbert-Smith conjecture. (Russian. Russian summary)
Mat. Sb. 207 (2016), no. 11, 82-104.
57S20 (55M30)

3545013
Bolotov, Dmitry(UKR-AOS-LT); Dranishnikov, Alexander(1-FL)
On Gromov's conjecture for totally non-spin manifolds. (English summary)
J. Topol. Anal. 8 (2016), no. 4, 571-587.
53C23 (57N65)

3544546
Dranishnikov, Alexander
The topological complexity and the homotopy cofiber of the diagonal map for non-orientable surfaces.
Proc. Amer. Math. Soc. 144 (2016), no. 11, 4999-5014.

3426700
Dranishnikov, Alexander N.(1-FL)
The LS category of the product of lens spaces. (English summary)
Algebr. Geom. Topol. 15 (2015), no. 5, 2985-3010.
55M30 (55N15 55R35)

3270927
Dranishnikov, Alexander(1-FL)
On topological complexity of twisted products. (English summary)
Topology Appl. 179 (2015), 74-80.
55M30 (54F45 57N65)

3267004
Dranishnikov, Alexander(1-FL)
Topological complexity of wedges and covering maps. (English summary)
Proc. Amer. Math. Soc. 142 (2014), no. 12, 4365-4376.
55M30 (54F45 57N65)

3265309
Dranishnikov, Alexander(1-FL); Levin, Michael(IL-BGUN)
On dimensionally exotic maps. (English summary)
Israel J. Math. 201 (2014), no. 2, 967-987.
54F15 (37C35)

3217864
Dranishnikov, Alexander(1-FL)
On Gromov's positive scalar curvature conjecture for duality groups. (English summary)
J. Topol. Anal. 6 (2014), no. 3, 397-419.
55M30 (53C23 57N65)

3199862
Dranishnikov, Alexander(1-FL); Zarichnyi, Michael(UKR-LVV-MM)
Asymptotic dimension, decomposition complexity, and Haver's property C. (English summary)
Topology Appl. 169 (2014), 99-107.
54F45 (53C23)

3165651
Dranishnikov, Alexander(1-FL); Levin, Michael(IL-BGUN)
Dimension of the product and classical formulae of dimension theory. (English summary)
Trans. Amer. Math. Soc. 366 (2014), no. 5, 2683–2697.
55M10 (54F45 55N45)

3152212
Dranishnikov, Alexander(1-FL); Gentimis, Thanos(1-FL)
On cohomology of the Higson compactification of hyperbolic spaces. (English summary)
J. Topol. Anal. 5 (2013), no. 4, 477–489.
55N05 (20F67 55S35)

2966847
Dranishnikov, Alexander(1-FL); Sapir, Mark(1-VDB)
Corrigendum to "On the dimension growth of groups'' [J. Algebra 347 (1) (2011) 23–39] [MR2846394]. (English summary)
J. Algebra 370 (2012), 407–409.
20F69 (05C15 05C63 20F65 57M07)

2921824
Dranishnikov, Alexander(1-FL)
Free abelian topological groups and collapsing maps. (English summary)
Topology Appl. 159 (2012), no. 9, 2353–2356.
54H11 (54C55 55Nxx)

2893542
Dranishnikov, A. N.(1-FL)
Macroscopic dimension and essential manifolds. (English summary)
Tr. Mat. Inst. Steklova 273 (2011), Sovremennye Problemy Matematiki, 41–53. ISBN: 5-7846-0118-0; 978-5-7846-0118-6
53Cxx

2883237
Dranishnikov, A. N.(1-FL-NDM)
On the macroscopic dimension of rationally inessential manifolds. (Russian. Russian summary)
Funktsional. Anal. i Prilozhen. 45 (2011), no. 3, 34–40.
57Rxx (53Cxx)

2846394
Dranishnikov, Alexander(1-FL); Sapir, Mark(1-VDB)
On the dimension growth of groups. (English summary)
J. Algebra 347 (2011), 23–39.
20F69 (05C15 05C63 20F65)

2823985
Dranishnikov, Alexander N.(1-FL); Katz, Mikhail G.(IL-BILN); Rudyak, Yuli B.(1-FL)
Cohomological dimension, self-linking, and systolic geometry. (English summary)
Israel J. Math. 184 (2011), 437–453.
53Cxx (55Mxx 57Mxx)

2821571
Dranishnikov, Alexander(1-FL)
On macroscopic dimension of rationally essential manifolds. (English summary)
Geom. Topol. 15 (2011), no. 2, 1107–1124.
53C23 (57Nxx)

2725304
Bell, G.(1-NCG); Dranishnikov, A.(1-FL)
Asymptotic dimension in Będlewo. (English summary)
Topology Proc. 38 (2011), 209–236.
54F45 (20F69)

2725351
Dranishnikov, A.; Ivanšić, I.; Keesling, J. E.; Ungar, Š.
Introduction [Dubrovnik VI—Geometric Topology].
Held in Dubrovnik, September 30–October 7, 2007.
Topology Appl. 157 (2010), no. 17, 2591–2592.
54-06 (55-06 57-06)

2629770
Dranishnikov, Alexander(1-FL)
The Lusternik-Schnirelmann category and the fundamental group. (English summary)
Algebr. Geom. Topol. 10 (2010), no. 2, 917--924.
55M30 (57M05)

2585410
Chigogidze, A.(1-NCG-MS); Dranishnikov, A. N.(1-FL)
Which compacta are noncommutative ARs? (English summary)
Topology Appl. 157 (2010), no. 4, 774--778.
54Dxx (46Lxx 54Fxx)

2578547
Bolotov, Dmitry(UKR-AOS-LT); Dranishnikov, Alexander(1-FL)
On Gromov's scalar curvature conjecture. (English summary)
Proc. Amer. Math. Soc. 138 (2010), no. 4, 1517--1524.
55M30 (55N15 57N65)

2558490
Dranishnikov, Alexander N.(1-FL); Rudyak, Yuli B.(1-FL)
Stable systolic category of manifolds and the cup-length. (English summary)
J. Fixed Point Theory Appl. 6 (2009), no. 1, 165--177.
55M30 (53C23 57N65)

2520063
Dranishnikov, A.(1-FL)
Cohomological approach to asymptotic dimension. (English summary)
Geom. Dedicata 141 (2009), 59--86.
20F69 (18Gxx)

2475974
Dranishnikov, Alexander N.(1-FL); Rudyak, Yuli B.(1-FL)
On the Berstein-Svarc theorem in dimension 2. (English summary)
Math. Proc. Cambridge Philos. Soc. 146 (2009), no. 2, 407--413.
55Mxx

2465675
Dranishnikov, Alexander N.(1-FL)
On the Lusternik-Schnirelmann category of spaces with 2-dimensional fundamental group. (English summary)
Proc. Amer. Math. Soc. 137 (2009), no. 4, 1489--1497.
55M30

2443244
Dranishnikov, Alexander(1-FL)
On asymptotic dimension of amalgamated products and right-angled Coxeter groups. (English summary)
Algebr. Geom. Topol. 8 (2008), no. 3, 1281--1293.
20F65 (20F55 20F69)

2421138
Dranishnikov, Alexander N.(1-FL); Katz, Mikhail G.(IL-BILN); Rudyak, Yuli B.(1-FL)
Small values of the Lusternik-Schnirelman category for manifolds. (English summary)
Geom. Topol. 12 (2008), no. 3, 1711--1727.
53Cxx (55M30)

2423966
Bell, G.(1-NCG-MS); Dranishnikov, A.(1-FL)
Asymptotic dimension. (English summary)
Topology Appl. 155 (2008), no. 12, 1265--1296.
55M10 (20F69 53Cxx)

2368371
Dranishnikov, A. N.(1-FL); Ferry, S. C.(1-RTG); Weinberger, S. A.(1-CHI)
An etale approach to the Novikov conjecture. (English summary)
Comm. Pure Appl. Math. 61 (2008), no. 2, 139--155.
57Rxx (58Jxx)

2314048
Dranishnikov, Alexander(1-FL); Schroeder, Viktor(CH-ZRCH-DM)
Aperiodic colorings and tilings of Coxeter groups. (English summary)
Groups Geom. Dyn. 1 (2007), no. 3, 311--328.
20F67

2308852
Buyalo, Sergei(RS-AOS2); Dranishnikov, Alexander(1-FL); Schroeder, Viktor(CH-ZRCH)
Embedding of hyperbolic groups into products of binary trees. (English summary)
Invent. Math. 169 (2007), no. 1, 153--192.
57M07

2310467
Dranishnikov, A. N.(1-FL)
Cohomological dimension of Markov compacta. (English summary)
Topology Appl. 154 (2007), no. 7, 1341--1358.
55Mxx (54D30)

2294641
Dranishnikov, A. N.(1-FL); Smith, J.(1-FL)
On asymptotic Assouad-Nagata dimension. (English summary)
Topology Appl. 154 (2007), no. 4, 934--952.
54F45 (20H15)

2247644
Dranishnikov, A. N.(1-FL)
Groups with a polynomial dimension growth. (English summary)
Geom. Dedicata 119 (2006), 1--15.
20F65

2231870
Bell, G. C.(1-PAS); Dranishnikov, A. N.(1-FL)
A Hurewicz-type theorem for asymptotic dimension and applications to geometric group theory. (English summary)
Trans. Amer. Math. Soc. 358 (2006), no. 11, 4749--4764 (electronic).
20F69 (20E08 20F65 57M07)

2231169
Dranishnikov, A. N.(1-FL)
On hypereuclidean manifolds. (English. English summary)
Geom. Dedicata 117 (2006), 215--231.
51Fxx (57Nxx)

2216707
Dranishnikov, A. N.(1-FL)
On Bestvina-Mess formula. (English. English summary)
Topological and asymptotic aspects of group theory, 77--85,
Contemp. Math., 394,
Amer. Math. Soc., Providence, RI, 2006.
20F65 (20J06 55M10 55N05)

2213160
Dranishnikov, A.(1-FL); Smith, J.(1-FL)
Asymptotic dimension of discrete groups. (English. English summary)
Fund. Math. 189 (2006), no. 1, 27--34.
20F69

2175345
Cencelj, M.(SV-LJUBM); Dranishnikov, A. N.(1-FL)
Extension of maps into nilpotent spaces. III. (English. English summary)
Topology Appl. 153 (2005), no. 2-3, 208--212.
55S36 (54C20 54F45 55M10)

2162976
Dranishnikov, A. N.(1-FL)
On some approximation problems in topology. (English. English summary)
Ten mathematical essays on approximation in analysis and topology, 61--94,
Elsevier B. V., Amsterdam, 2005.
54Cxx (54Bxx 55Mxx)

2111957
Dranishnikov, Alex N.(1-FL); Rudyak, Yuli B.(1-FL)
Examples of non-formal closed $(k-1)$-connected manifolds of dimensions $\ge4k-1$. (English. English summary)
Proc. Amer. Math. Soc. 133 (2005), no. 5, 1557--1561 (electronic).
55S30 (55P62 57Q35)

2168163
Dranishnikov, A. N.(1-FL)
Lipschitz cohomology, Novikov's conjecture, and expanders. (Russian. Russian summary)
Tr. Mat. Inst. Steklova 247 (2004), Geom. Topol. i Teor. Mnozh., 59--73.
58Jxx (19Lxx 54Dxx 57Rxx)

2098148
Bell, G. C.(1-PAS); Dranishnikov, A. N.(1-FL); Keesling, J. E.(1-FL)
On a formula for the asymptotic dimension of free products. (English. English summary)
Fund. Math. 183 (2004), no. 1, 39--45.
20F69 (20E06)

2078185
Dranishnikov, Alexander(1-FL); Keesling, James(1-FL)
Special Year in Topology and Dynamical Systems, University of Florida [Gainesville, FL] 2001--2002.
Topology Appl. 140 (2004), no. 2-3, 131--132.
54-06 (37-06)

2074917
Dranishnikov, A.(1-FL); Zarichnyi, M.(UKR-LVV-MM)
Universal spaces for asymptotic dimension. (English. English summary)
Topology Appl. 140 (2004), no. 2-3, 203--225.
54F45

2034954
Bell, G.(1-LSVL); Dranishnikov, A.(1-FL)
On asymptotic dimension of groups acting on trees. (English. English summary)
Geom. Dedicata 103 (2004), 89--101.
20F69 (20E08)

2024959
Dranishnikov, A. N.(1-FL); West, J. E.(1-FL)
Correction to: "Compact group actions that raise dimension to infinity" [Topology Appl. 80 (1997), no. 1-2, 101--114; MR1469471]. (English. English summary)
Topology Appl. 135 (2004), no. 1-3, 249--252.
55M35 (55M10 57S17)

1983785
Dranishnikov, A. N.(1-FL); Ferry, Steven C.(1-RTG); Weinberger, Shmuel(1-CHI)
Large Riemannian manifolds which are flexible. (English. English summary)
Ann. of Math. (2) 157 (2003), no. 3, 919--938.
53C23 (57R65)

1928082
Dranishnikov, A. N.(1-FL)
On hypersphericity of manifolds with finite asymptotic dimension. (English. English summary)
Trans. Amer. Math. Soc. 355 (2003), no. 1, 155--167 (electronic).
53C23 (53C21)

1926136
Cencelj, M.(SV-LJUB-MPM); Dranishnikov, A. N.(1-FL)
Extension of maps to nilpotent spaces. II. (English. English summary)
Topology Appl. 124 (2002), no. 1, 77--83.
55M10 (54C20 54F45 55S36)

1895490
Dranishnikov, A. N.(1-FL)
A generalization of Borsuk's pasting theorem and its application. (English. English summary)
In memory of T. Benny Rushing.
Topology Appl. 120 (2002), no. 1-2, 169--174.
54C55 (55M10)

1884134
Dranishnikov, A. N.(1-PAS); Gong, G.(1-PRRP); Lafforgue, V.(F-ENS-LM); Yu, G.(1-CO)
Uniform embeddings into Hilbert space and a question of Gromov. (English. English summary)
Canad. Math. Bull. 45 (2002), no. 1, 60--70.
57N20 (46C05 54E40)

1890851
Dranishnikov, A.(1-FL)
On asymptotic inductive dimension. (English. English summary)
JP J. Geom. Topol. 1 (2001), no. 3, 239--247.
54F45 (54D35)

1847488
Cencelj, M.(SV-LJUBM); Dranishnikov, A. N.(1-PAS)
Extension of maps to nilpotent spaces. (English. English summary)
Canad. Math. Bull. 44 (2001), no. 3, 266--269.
55M10 (54C20 54F45)

1821844
Dranishnikov, A. N.(1-FL); Keesling, J. E.(1-FL)
The countable extension basis theorem and its applications. (English. English summary)
Geometric topology: Dubrovnik 1998.
Topology Appl. 113 (2001), no. 1-3, 29--38.
54C55 (54C20 54E50 54F45)

1814233
Dranishnikov, Alexander N.(1-FL); Repov\v s, Du\v san(SV-LJUB-MPM)
On Alexandroff theorem for general abelian groups. (English. English summary)
Topology Appl. 111 (2001), no. 3, 343--353.
55M10 (55N35 55P20)

1804695
Dranishnikov, A. N.(1-FL)
On boundaries of hyperbolic Coxeter groups. (English. English summary)
Geometric topology and geometric group theory (Milwaukee, WI, 1997).
Topology Appl. 110 (2001), no. 1, 29--38.
20F55 (20F65 57M07)

1808331
Bell, G.(1-FL); Dranishnikov, A.(1-FL)
On asymptotic dimension of groups. (English. English summary)
Algebr. Geom. Topol. 1 (2001), 57--71 (electronic).
20F69 (20E06 20F34)

1694287
Dranishnikov, Alexander(1-FL); Dydak, Jerzy(1-TN)
Extension theory of separable metrizable spaces with applications to dimension theory. (English. English summary)
Trans. Amer. Math. Soc. 353 (2001), no. 1, 133--156.
55M10 (54F45)

1840358
Dranishnikov, A. N.(RS-AOS)
Asymptotic topology. (Russian. Russian summary)
Uspekhi Mat. Nauk 55 (2000), no. 6(336), 71--116; translation in Russian Math. Surveys 55 (2000), no. 6, 1085--1129
55M10 (18B30 54E35 54F45 55M15)

1781276
Dranishnikov, A. N.(1-PAS)
On the dimension of the product of two compacta and the dimension of their intersection in general position in Euclidean space. (English. English summary)
Trans. Amer. Math. Soc. 352 (2000), no. 12, 5599--5618 (electronic).
55M10 (54F45 55N45)

1618658
Dranishnikov, A. N.(1-FL)
An infinite family of manifolds with bounded total curvature. (English. English summary)
Proc. Amer. Math. Soc. 128 (2000), no. 1, 255--260.
57R42 (53C42)

1802681
Dranishnikov, A.(1-PAS); Januszkiewicz, T.(PL-WROC-IM)
Every Coxeter group acts amenably on a compact space. (English. English summary)
Proceedings of the 1999 Topology and Dynamics Conference (Salt Lake City, UT).
Topology Proc. 24 (1999), Spring, 135--141.
20F55 (20F69 46L85 57M07)

1695349
Dranishnikov, A. N.(1-FL)
Rational homology manifolds and rational resolutions. (English. English summary)
Special issue in memory of B. J. Ball.
Topology Appl. 94 (1999), no. 1-3, 75--86.
55M10 (57S10)

1684267
Dranishnikov, A. N.(1-FL)
Boundaries of Coxeter groups and simplicial complexes with given links. (English. English summary)
J. Pure Appl. Algebra 137 (1999), no. 2, 139--151.
20H15 (20F65 57M07)

1691183
Dranishnikov, A. N.(1-FL)
On the theory of extensions of mappings of compact spaces. (Russian)
Uspekhi Mat. Nauk 53 (1998), no. 5(323), 65--72; translation in Russian Math. Surveys 53 (1998), no. 5, 929--935
54C05 (54C20 54C55 54D30)

1648092
Dranishnikov, A. N.(1-FL)
Dimension theory and large Riemannian manifolds. (English. English summary)
Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998).
Doc. Math. 1998, Extra Vol. II, 423--432 (electronic).
57R67 (19K56 54D35 55M10)

1617455
Dranishnikov, A. N.(1-FL); Repov\v s, D.(SV-LJUBM); \v S\v cepin, E. V.(RS-AOS)
Transversal intersection formula for compacta. (English. English summary)
8th Prague Topological Symposium on General Topology and Its Relations to Modern Analysis and Algebra (1996).
Topology Appl. 85 (1998), no. 1-3, 93--117.
55M10 (54F45)

1607744
Dranishnikov, A. N.(1-FL); Keesling, J.(1-FL); Uspenskij, V. V.(1-FL)
On the Higson corona of uniformly contractible spaces. (English. English summary)
Topology 37 (1998), no. 4, 791--803.
57N99 (19K35 46L80 54E99 58G12)

1490719
Dranishnikov, A. N.(1-FL)
Cohomology, dimension and large Riemannian manifolds. (English. English summary)
Internat. J. Math. Math. Sci. 20 (1997), no. 4, 633--636.
54F45 (54D35 55M10 57M10 57S30)

1490028
Dranishnikov, A. N.(1-FL); Ferri, S.(1-SUNY2)
On the Higson-Roe corona. (Russian)
Uspekhi Mat. Nauk 52 (1997), no. 5(317), 133--146; translation in Russian Math. Surveys 52 (1997), no. 5, 1017--1028
58G12 (46L87 55N99 57R99)

1469471
Dranishnikov, A. N.(1-FL); West, J. E.(1-CRNL)
Compact group actions that raise dimension to infinity. (English. English summary)
Topology Appl. 80 (1997), no. 1-2, 101--114.
55M35 (54F45 54H15 57S99)

1469470
Dranishnikov, A. N.(1-FL); Uspenskij, V. V.(RS-MOSCM-GT)
Light maps and extensional dimension. (English. English summary)
Topology Appl. 80 (1997), no. 1-2, 91--99.
54F45 (54C10 54C20 54C56 55M10 55M15)

1469462
Arhangel\cprime skii, A. V.; Dranishnikov, A. N.
P. S. Alexandroff and topology: an introductory note.
Topology Appl. 80 (1997), no. 1-2, 1--6.
01A70 (54-03)

1425119
Dranishnikov, A. N.(1-FL)
On Chogoshvili's conjecture. (English. English summary)
Proc. Amer. Math. Soc. 125 (1997), no. 7, 2155--2160.
55M10 (54F45)

1422863
Dranishnikov, A. N.(1-FL)
On the virtual cohomological dimensions of Coxeter groups. (English. English summary)
Proc. Amer. Math. Soc. 125 (1997), no. 7, 1885--1891.
55M10 (20F55 20J05 57S30)

1635023
Dranishnikov, A.; Dydak, J.
Extension dimension and extension types. (English)
Tr. Mat. Inst. Steklova 212 (1996), Otobrazh. i Razmer., 61--94; translation in Proc. Steklov Inst. Math. 1996, no. 1 (212), 55--88
54F45 (54C20 54C55)

1425932
Dranishnikov, Alexander N.(SV-LJUBM); Repov\v s, Du\v san(SV-LJUBM)
Cohomological dimension with respect to perfect groups. (English. English summary)
Proceedings of the International Conference on Set-theoretic Topology and its Applications (Matsuyama, 1994).
Topology Appl. 74 (1996), no. 1-3, 123--140.
55M10 (54C25 54F45 57Q55 57Q65)

1394397
Dranishnikov, A. N.(1-MIAM)
On the mapping intersection problem. (English. English summary)
Pacific J. Math. 173 (1996), no. 2, 403--412.
54F45 (54C99 55M10)

1386313
Daverman, R. J.(1-TN); Dranishnikov, A. N.(1-CRNL)
Cell-like maps and aspherical compacta.
Illinois J. Math. 40 (1996), no. 1, 77--90.
54F15 (54B20 54F45 55M10 57P99)

1346635
Drani\v snikov, Aleksander N.(1-CRNL); Repov\v s, Du\v san(SV-LJUBM)
The Urysohn-Menger sum formula: an extension of the Dydak-Walsh theorem to dimension one. (English. English summary)
J. Austral. Math. Soc. Ser. A 59 (1995), no. 2, 273--282.
55M10 (54F45 55P20)

1307512
Dranishnikov, A. N.(1-CRNL)
The power substitution for rings of complex and real functions on compact metric spaces. (English. English summary)
Proc. Amer. Math. Soc. 123 (1995), no. 9, 2887--2893.
55M10 (15A54 16S60)

1272187
Dranishnikov, A. N.(RS-AOS)
The Eilenberg-Borsuk theorem for mappings in an arbitrary complex. (Russian. Russian summary)
Mat. Sb. 185 (1994), no. 4, 81--90; translation in Russian Acad. Sci. Sb. Math. 81 (1995), no. 2, 467--475
54F45 (55M10 55P42)

1255297
Drani\v snikov, A. N.(SV-LJUBM); Repov\v s, D.(SV-LJUBM); \v S\v cepin, E. V.(SV-LJUBM)
On approximation and embedding problems for cohomological dimension. (English. English summary)
Topology Appl. 55 (1994), no. 1, 67--86.
55M10 (54C25 54F45 57Q55 57Q65)

1205488
Drani\v snikov, A. N.(RS-AOS); Repov\v s, D.(SV-LJUBM); \v S\v cepin, E. V.(RS-AOS)
On the failure of the Urysohn-Menger sum formula for cohomological dimension. (English. English summary)
Proc. Amer. Math. Soc. 120 (1994), no. 4, 1267--1270.
55M10 (54D35 54F45 54G20)

1305123
Dranishnikov, A. N.(SV-LJUBM); Repov\v s, D.(SV-LJUBM); \v S\v cepin, E. V.(RS-AOS)
Dimension of products with continua. (English. English summary)
Topology Proc. 18 (1993), 57--73.
54F45 (55N05 55N07 55N20)

1255773
Drani\v snikov, A. N.(RS-AOS); Repov\v s, D.(SV-LJUBM)
On unstable intersections of $2$-dimensional compacta in Euclidean $4$-space. (English. English summary)
Topology Appl. 54 (1993), no. 1-3, 3--11.
55M10 (54C25 54F45 57Q55 57Q65)

1255491
Drani\v snikov, A. N.(RS-AOS); Repov\v s, D.(SV-LJUBM); \v S\v cepin, E. V.(RS-AOS)
On intersections of compacta in Euclidean space: the metastable case. (English. English summary)
Tsukuba J. Math. 17 (1993), no. 2, 549--564.
55M10 (54C25 54F45 57Q55 57Q65)

1201430
Drani\v snikov, A. N.(SV-LJUBM); Repov\v s, D.(SV-LJUBM)
Embeddings up to homotopy type in Euclidean space. (English. English summary)
Bull. Austral. Math. Soc. 47 (1993), no. 1, 145--148.
57Q35 (55P10)

1153012
Dranishnikov, A. N.(RS-AOS)
$K$-theory of Eilenberg-Mac Lane spaces and cell-like mapping problem.
Trans. Amer. Math. Soc. 335 (1993), no. 1, 91--103.
55M10 (54F45 57Q55)

1265996
Dranishnikov, A. N.
On the cohomological dimension of compacta. (Russian)
Trudy Mat. Inst. Steklov. 193 (1992), 115--120; translation in Proc. Steklov Inst. Math. 1993, no. 3 (193), 125--130
55M10 (54F45 55P42)

1244651
Dranishnikov, A. N.(RS-AOS)
On problem of Y. Sternfeld. (English. English, Serbo-Croatian summary)
Glas. Mat. Ser. III 27(47) (1992), no. 2, 365--368.
54F45 (54F15 54G20)

1189994
Dranishnikov, A. N.(RS-AOS)
Stable cohomotopy dimension and weakly infinite-dimensional spaces. (English. English summary)
Topology Appl. 47 (1992), no. 1, 79--81.
54F45 (55M10 55P42)

1152318
Dranishnikov, A. N.(RS-AOS); West, J.(1-CRNL)
On compacta that intersect unstably in Euclidean space.
Topology Appl. 43 (1992), no. 2, 181--187.
54F45 (54C35 55M10)

1133570
Dranishnikov, A. N.(RS-AOS)
Extension of mappings into CW-complexes. (Russian)
Mat. Sb. 182 (1991), no. 9, 1300--1310; translation in Math. USSR-Sb. 74 (1993), no. 1, 47--56
55M10 (54F45)

1112096
Dranishnikov, A. N.
On the realization of the dimension functions. III. (Russian)
Sibirsk. Mat. Zh. 32 (1991), no. 1, 179--181, 222; translation in Siberian Math. J. 32 (1991), no. 1, 145--147
54F45 (55M99)

1111291
Dranishnikov, A. N.
Spanier-Whitehead duality and the stability of intersections of compact spaces. (Russian)
Translated in Proc. Steklov Inst. Math. 1992, no. 4, 53--56. Discrete geometry and topology (Russian).
Trudy Mat. Inst. Steklov. 196 (1991), 47--50.
55M10 (54F45 55M05 55N20 55P25)

1098904
Drani\v snikov, A. N.(2-AOS); Repov\v s, D.(YU-LJUB); \v S\v cepin, E. V.(2-AOS)
On intersections of compacta of complementary dimensions in Euclidean space.
Topology Appl. 38 (1991), no. 3, 237--253.
57N15 (54F45 55M10)

1060721
Dranishnikov, A. N.(2-AOS)
On intersection of compacta in Euclidean space. II.
Proc. Amer. Math. Soc. 113 (1991), no. 4, 1149--1154.
54C25 (55M10)

1042264
Dranishnikov, A. N.(2-AOS)
On intersections of compacta in Euclidean space.
Proc. Amer. Math. Soc. 112 (1991), no. 1, 267--275.
54C25 (54F45 55M10)

1085196
Dranishnikov, A. N.
Generalized cohomological dimension of compact metric spaces.
Tsukuba J. Math. 14 (1990), no. 2, 247--262.
55M10

1049862
Dranishnikov, A. N.(2-AOS)
A fibration that does not accept two disjoint many-valued sections.
Topology Appl. 35 (1990), no. 1, 71--73.
54C10 (54C60 54C65 55R25)

1040277
Dranishnikov, A. N.(2-AOS); Shchepin, E. V.(2-AOS)
Stability of the intersections of compact spaces in a Euclidean space. (Russian)
Uspekhi Mat. Nauk 44 (1989), no. 5(269), 159--160; translation in Russian Math. Surveys 44 (1989), no. 5, 194--195
54D30

1019034
Dranishnikov, A. N.(2-AOS)
Cohomology manifolds over finite groups. (Russian)
Mat. Zametki 45 (1989), no. 6, 36--43, 110; translation in Math. Notes 45 (1989), no. 5-6, 455--460
57P99 (55M10 57S10)

995023
Dranishnikov, A. N.
On the realization of dimension functions. II. (Russian)
Sibirsk. Mat. Zh. 30 (1989), no. 1, 96--102; translation in Siberian Math. J. 30 (1989), no. 1, 74--79
54F45

985881
Dranishnikov, A. N.(2-AOS)
The cohomological dimension is not preserved under the Stone-\v Cech compactification. (Russian)
C. R. Acad. Bulgare Sci. 41 (1988), no. 12, 9--10.
55M10 (54F45)

969565
Dranishnikov, A. N.(2-AOS)
Homological dimension theory. (Russian)
Uspekhi Mat. Nauk 43 (1988), no. 4(262), 11--55, 255; translation in Russian Math. Surveys 43 (1988), no. 4, 11--63
55M10 (54C55 54F45 57N20 57N60)

950312
Dranishnikov, A. N.(2-AOS)
On the dimension of the product of ANR-compacta. (Russian)
Dokl. Akad. Nauk SSSR 300 (1988), no. 5, 1045--1049; translation in Soviet Math. Dokl. 37 (1988), no. 3, 769--773
54F45 (54C55)

947617
Dranishnikov, A. N.(2-AOS)
$Q$-bundles without disjoint sections. (Russian)
Funktsional. Anal. i Prilozhen. 22 (1988), no. 2, 79--80; translation in Funct. Anal. Appl. 22 (1988), no. 2, 151--152
55R10 (57N20)

947228
Dranishnikov, A. N.(2-AOS)
Bokshte\u\i n inequalities in homology dimension theory. (Russian)
Dokl. Akad. Nauk SSSR 299 (1988), no. 5, 1045--1048; translation in Soviet Math. Dokl. 37 (1988), no. 2, 505--509
54F45 (55N99)

942139
Dranishnikov, A. N.(2-AOS)
On a problem of P. S. Aleksandrov. (Russian)
Mat. Sb. (N.S.) 135(177) (1988), no. 4, 551--557, 560; translation in Math. USSR-Sb. 63 (1989), no. 2, 539--545
55M10 (54F45 57N60)

936782
Dranishnikov, A. N.
On the realization of dimension functions. (Russian)
Sibirsk. Mat. Zh. 29 (1988), no. 1, 32--38, 222; translation in Siberian Math. J. 29 (1988), no. 1, 24--29
54F45

936531
Dranishnikov, A. N.
Free actions of $0$-dimensional compact groups. (Russian)
Izv. Akad. Nauk SSSR Ser. Mat. 52 (1988), no. 1, 212--228; translation in Math. USSR-Izv. 32 (1989), no. 1, 217--232
57S10 (54H15)

922272
Dranishnikov, A. N.(2-AOS)
Infinite-dimensional compacta with finite cohomological dimension modulo $p$.
Geometric topology and shape theory (Dubrovnik, 1986), 60--64,
Lecture Notes in Math., 1283,
Springer, Berlin, 1987.
54F45 (55M10 57N20)

922271
Dranishnikov, A. N.(2-AOS)
On resolutions of ${\rm LC}\sp n$-compacta.
Geometric topology and shape theory (Dubrovnik, 1986), 48--59,
Lecture Notes in Math., 1283,
Springer, Berlin, 1987.
54F35 (54C10 57N15)

889602
Dranishnikov, A. N.(2-AOS)
On homological dimension modulo $p$. (Russian)
Mat. Sb. (N.S.) 132(174) (1987), no. 3, 420--433, 446; translation in Math. USSR-Sb. 60 (1988), no. 2, 413--425
55M10 (54F45)

890492
Dranishnikov, A. N.(2-MOSC); Shchepin, E. V.(2-AOS)
Cell-like mappings. The problem of the increase of dimension. (Russian)
Uspekhi Mat. Nauk 41 (1986), no. 6(252), 49--90, 230.
57N60 (18G20 55M10)

854250
Dranishnikov, A. N.(2-MOSC)
Homological dimension with respect to a group of coefficients $Z\sb p$. (Russian)
Uspekhi Mat. Nauk 41 (1986), no. 3(249), 179--180.
55M10

853887
Dranishnikov, A. N.
Absolute $F$-valued retracts and spaces of functions in the topology of pointwise convergence. (Russian)
Sibirsk. Mat. Zh. 27 (1986), no. 3, 74--86, 223.
54C55 (54B35 54C35)

830099
Dranishnikov, A. N.(2-MOSC)
Universal Menger compacta and universal mappings. (Russian)
Mat. Sb. (N.S.) 129(171) (1986), no. 1, 121--139, 160.
54C10 (54F45 57N20)

821338
Dranishnikov, A. N.(2-MOSC)
P. S. Aleksandrov's diameters and cell-like mappings. (Russian)
Dokl. Akad. Nauk SSSR 285 (1985), no. 3, 550--555.
54F45 (57N99)

820199
Dranishnikov, A. N.
Hopf bundles and $n$-soft dimension-raising mappings. (Russian)
Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1985, no. 6, 101--103, 113.
57N20 (54C10 54F45)

815494
Dranishnikov, A. N.(2-MOSC)
Covariant functors and extensors in dimension $n$. (Russian)
Uspekhi Mat. Nauk 40 (1985), no. 6(246), 133--134.
54C55 (54F35)

806332
Dranishnikov, A. N.
$n$-soft mappings on the $n$-dimensional cube. (Russian)
Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1985, no. 4, 13--20, 105.
54C20 (54C55)

790983
Dranishnikov, A. N.(2-MOSC)
Mixers. Converse of a theorem of van Mill and van de Vel. (Russian)
Mat. Zametki 37 (1985), no. 4, 587--593, 602.
54C55 (55M15)

764019
Dranishnikov, A. N.(2-MOSC)
Multivalued absolute retracts and absolute extensors in dimensions $0$ and $1$. (Russian)
Uspekhi Mat. Nauk 39 (1984), no. 5(239), 241--242.
54C55 (54F40)

764009
Dranishnikov, A. N.(2-MOSC)
Absolute extensors in dimension $n$ and $n$-soft mappings increasing the dimension. (Russian)
Uspekhi Mat. Nauk 39 (1984), no. 5(239), 55--95.
54C55 (54F45)

756737
Dranishnikov, A. N.(2-MOSC)
Absolute extensors in the dimension $n$ and $n$-soft mappings. (Russian)
Dokl. Akad. Nauk SSSR 277 (1984), no. 2, 284--287.
54B25 (54C10 54C15 54C20 54C55 54F45)

622730
Drani\v snikov, A. N.
On countably-valued retracts of a Tihonov cube. (Russian)
Uspekhi Mat. Nauk 36 (1981), no. 3(219), 211--212.
54C55 (54C60)

585529
Drani\v snikov, A. N.
On zero-dimensional counterimages of Dugundji spaces. (Russian)
Dokl. Akad. Nauk SSSR 254 (1980), no. 1, 24--28.
54E99

514770
Drani\v snikov, A. N.
Compatible annihilation of closed set families, $\kappa $-metrizable and stratifiable spaces. (Russian)
Dokl. Akad. Nauk SSSR 243 (1978), no. 5, 1105--1108.
54E20