Rudyak, Yu. B.

• 3624458
  Rudyak, Yuli B.(1-FL)
  Department of Mathematics, University of Florida
  Gainesville, Florida, 32611
  Maps of degree 1 and Lusternik-Schnirelmann category. (English summary)
  Topology Appl. 221 (2017), 225-230.
  55M30 (55N20 57R19 57R70)
  
• 3467983
  Rudyak, Yuli(1-FL-NDM)
  Piecewise linear structures on topological manifolds. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2016. xxii+106 pp. ISBN: 978-981-4733-78-6
  57Q25 (55R25 57Q15 57Qxx)
  
• 3340274
  Rudyak, Yuli(1-FL)
  On topological complexity of Eilenberg-Maclane spaces. (English summary)
  Topology Proc. 48 (2016), 65-67.
  55M30 (55P20)
  
• 3340274
  Rudyak, Yuli(1-FL)
  On topological complexity of Eilenberg-Maclane spaces. (English summary)
  Topology Proc. 48 (2016), 65-67.
  55M30 (55P20)
  
• 3331610
  Basabe, Ibai(1-FL); González, Jesús(MEX-IPN-CI); Rudyak, Yuli B.(1-FL); Tamaki, Dai(J-SHINS)
  Higher topological complexity and its symmetrization. (English summary)
  Algebr. Geom. Topol. 14 (2014), no. 4, 2103-2124.
  55M30 (55R80)
  
• 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)
  
• 2593724
  Rudyak, Yuli B.(1-FL)
  Erratum to ``On higher analogs of topological complexity'' [Topology Appl. 157 (5) (2010) 916--920] [ MR2593704].
  Topology Appl. 157 (2010), no. 6, 1118.
  55M30 (53C23 57N65)
  
• 2593704
  Rudyak, Yuli B.(1-FL)
  On higher analogs of topological complexity. (English summary)
  Topology Appl. 157 (2010), no. 5, 916--920.
  55M30 (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)
  
• 2503515
  Rudyak, Yuli(1-FL)
  M. M. Postnikov: his life, work and legacy. Algebraic topology---old and new, 15--29,
  Banach Center Publ., 85, Polish Acad. Sci. Inst. Math., Warsaw, 2009.
  55-03 (01A70)
  
• 2499602
  Algebraic topology---old and new.
  Papers from the M. M. Postnikov Memorial Conference held in B\polhk edlewo, June 18--24, 2007. Edited by Marek Golasiński, Yuli Rudyak, Paolo Salvatore, Nikolai Saveliev and Nathalie Wahl. Banach Center Publications, 85. Polish Academy of Sciences, Institute of Mathematics, Warsaw, 2009. 313 pp. ISBN: 978-83-86806-04-1
  57-06 (55-06)
  
• 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
  
• 2492365
  Chernov, V. V.(1-DTM); Rudyak, Y. B.(1-FL)
  On generalized winding numbers. (English summary)
  Algebra i Analiz 20 (2008), no. 5, 217--233.
  57Rxx
  
• 2439632
  Katz, Mikhail G.(IL-BILN); Rudyak, Yuli B.(1-FL)
  Bounding volume by systoles of 3-manifolds. (English summary)
  J. Lond. Math. Soc. (2) 78 (2008), no. 2, 407--417.
  53Cxx (57Nxx)
  
• 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)
  
• 2427510
  Rudyak, Yuli B.(1-FL); Sabourau, Stéphane(F-TOUR-MTP)
  Systolic invariants of groups and 2-complexes via Grushko decomposition. (English, French summary)
  Ann. Inst. Fourier (Grenoble) 58 (2008), no. 3, 777--800.
  53C23 (20E06)
  
• 2402905
  K\polhk edra, Jarek(4-ABER); Rudyak, Yuli(1-FL); Tralle, Aleksy(PL-PAN)
  Symplectically aspherical manifolds. (English summary)
  J. Fixed Point Theory Appl. 3 (2008), no. 1, 1--21.
  57R17
  
• 2383590
  Chernov, Vladimir V.(1-DTM); Rudyak, Yuli B.(1-FL)
  Linking and causality in globally hyperbolic space-times. (English summary)
  Comm. Math. Phys. 279 (2008), no. 2, 309--354.
  53Cxx (57M25)
  
• 2372460
  Rudyak, Yu. B.(1-FL); Schlenk, Felix(B-ULB)
  Minimal atlases of closed symplectic manifolds. (English summary)
  Commun. Contemp. Math. 9 (2007), no. 6, 811--855.
  53D35 (55M30 57R17)
  
• 2308893
  K\c edra, J.(4-ABER); Rudyak, Yu.(1-FL); Tralle, A.
  On fundamental groups of symplectically aspherical manifolds. II. Abelian groups. (English summary)
  Math. Z. 256 (2007), no. 4, 825--835.
  53D35 (57Rxx)
  
• 2302585
  Keesling, James E.(1-FL); Rudyak, Yuli B.(1-FL)
  On fundamental groups of compact Hausdorff spaces. (English summary)
  Proc. Amer. Math. Soc. 135 (2007), no. 8, 2629--2631 (electronic).
  55Q05 (03E10 03E55 57M05)
  
• 2250017
  Katz, Mikhail G.(IL-BILN); Rudyak, Yuli B.(1-FL); Sabourau, Stéphane(F-TOUR-MTP)
  Systoles of 2-complexes, Reeb graph, and Grushko decomposition.
  Int. Math. Res. Not. 2006, Art. ID 54936, 30 pp.
  57Mxx (05C10)
  
• 2248895
  Katz, Mikhail G.(IL-BILN); Rudyak, Yuli B.(1-FL)
  Lusternik-Schnirelmann category and systolic category of low-dimensional manifolds. (English summary)
  Comm. Pure Appl. Math. 59 (2006), no. 10, 1433--1456.
  53Cxx (55Mxx 58Exx)
  
• 2175159
  Chernov, Vladimir V.(1-DTM); Rudyak, Yuli B.(1-FL)
  Toward a general theory of linking invariants. (English. English summary)
  Geom. Topol. 9 (2005), 1881--1913 (electronic).
  57R19 (57M27 57Nxx)
• 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)
• 2103543
  Ibáñez, R.(E-BILBS); K\c edra, J.(PL-SZCZ); Rudyak, Yu.(1-FL); Tralle, A.
  On fundamental groups of symplectically aspherical manifolds. (English. English summary)
  Math. Z. 248 (2004), no. 4, 805--826.
  57R15
• 2074921
  Rudyak, Yu. B.(1-FL)
  On sequences ${\rm cat}(f\sp k)$. (English. English summary)
  Topology Appl. 140 (2004), no. 2-3, 295--297.
  55M30
• 1980143
  Rudyak, Yuli B.(1-FL); Schlenk, Felix(CH-ETHZ)
  Lusternik-Schnirelmann theory for fixed points of maps. (English. English summary)
  Topol. Methods Nonlinear Anal. 21 (2003), no. 1, 171--194.
  37Bxx (55M20 55M30)
• 1969271
  Ibáñez, R.(E-BILBS); Rudyak, Yu.(1-FL); Tralle, A.; Ugarte, L.(E-ZRGZS)
  Symplectically harmonic cohomology of nilmanifolds.
  Symplectic and contact topology: interactions and perspectives (Toronto, ON/Montreal, QC, 2001), 117--130,
  Fields Inst. Commun., 35,
  Amer. Math. Soc., Providence, RI, 2003.
  53Dxx (57R17 58Axx)
• 1953319
  Ibáñez, Raúl(E-BILBS); Rudyak, Yuli(1-FL); Tralle, Aleksy; Ugarte, Luis(E-ZRGZS)
  On certain geometric and homotopy properties of closed symplectic manifolds. (English. English summary)
  Proceedings of the Pacific Institute for the Mathematical Sciences Workshop "Invariants of Three-Manifolds" (Calgary, AB, 1999).
  Topology Appl. 127 (2003), no. 1-2, 33--45.
  53D45 (57R17)
• 1962163
  Oprea, John(1-CVLS); Rudyak, Yuli(1-FL)
  Detecting elements and Lusternik-Schnirelmann category of 3-manifolds. (English. English summary)
  Lusternik-Schnirelmann category and related topics (South Hadley, MA, 2001), 181--191,
  Contemp. Math., 316,
  Amer. Math. Soc., Providence, RI, 2002.
  55M30 (57N10)
• 1909641
  Pushkar, P. E.(RS-IUM); Rudyak, Yu. B.(1-FL)
  On the minimal number of critical points of functions on $h$-cobordisms. (English. English summary)
  Math. Res. Lett. 9 (2002), no. 2-3, 241--246.
  57R80 (19J10)
• 1879976
  Rudyak, Yuli B.(D-HDBG)
  On an adjoint functor to the Thom functor. (English. English summary)
  Proc. Amer. Math. Soc. 130 (2002), no. 5, 1503--1506 (electronic).
  55R25 (18A40)
• 1854698
  Ibáñez, R.; Rudyak, Yu.; Tralle, A.; Ugarte, L.
  Erratum: "On symplectically harmonic forms on six-dimensional nil-manifolds" [Comment. Math. Helv. 76 (2001), no. 1, 89--109; MR 2002b:53120].
  Comment. Math. Helv. 76 (2001), no. 3, 576.
  53D05 (57R17 58A14)
• 1819662
  Ibáñez, R.(E-BILBS); Rudyak, Yu.(D-SGN-M6); Tralle, A.; Ugarte, L.(E-ZRGZS)
  On symplectically harmonic forms on six-dimensional nil-manifolds. (English. English summary)
  Comment. Math. Helv. 76 (2001), no. 1, 89--109.
  53D05 (57R17 58A14)
• 1759504
  Rudyak, Yuli(D-SGN-M6); Tralle, Aleksy
  On Thom spaces, Massey products, and nonformal symplectic manifolds.
  Internat. Math. Res. Notices 2000, no. 10, 495--513.
  53D35 (53D05 55P62 55S30 57R17)
• 1747112
  Rudyak, Yuli B.(D-SGN-M5)
  On strict category weight, gradient-like flows, and the Arnold conjecture.
  Internat. Math. Res. Notices 2000, no. 5, 271--279.
  53D40 (37J05 55M30)
• 1766181
  Rudyak, Yuli(D-SGN-M6); Tralle, Aleksy
  On symplectic manifolds with aspherical symplectic form. (English. English summary)
  Topol. Methods Nonlinear Anal. 14 (1999), no. 2, 353--362.
  53D35 (55M30)
• 1686583
  Rudyak, Yuli B.(D-HDBG)
  On analytical applications of stable homotopy (the Arnold conjecture, critical points).
  Math. Z. 230 (1999), no. 4, 659--672.
  53D40 (55M30 55N20)
• 1686579
  Rudyak, Yuli B.(D-HDBG); Oprea, John(1-CVLS)
  On the Lusternik-Schnirelmann category of symplectic manifolds and the Arnold conjecture.
  Math. Z. 230 (1999), no. 4, 673--678.
  53D40 (55M30)
• 1644063
  Rudyak, Yuli B.(D-HDBG)
  On category weight and its applications. (English. English summary)
  Topology 38 (1999), no. 1, 37--55.
  55M30 (55N20 55S30)
• 1679849
  Rudyak, Yuli B.(D-HDBG)
  Category weight: new ideas concerning Lusternik-Schnirelmann category.
  Homotopy and geometry (Warsaw, 1997), 47--61,
  Banach Center Publ., 45,
  Polish Acad. Sci., Warsaw, 1998.
  55M30 (53D35 55N20 55S30 57R17)
• 1627486
  Rudyak, Yuli B.(D-HDBG)
  On Thom spectra, orientability, and cobordism.
  With a foreword by Haynes Miller. Springer Monographs in Mathematics.
  Springer-Verlag, Berlin, 1998. xii+587 pp. ISBN 3-540-62043-5
  55-02 (55N22 55P42 57-02)
• 1603140
  Rudyak, Yu. B.(D-HDBG)
  The spectra $k$ and $kO$ are not Thom spectra. (English. English summary)
  Group representations: cohomology, group actions and topology (Seattle, WA, 1996), 475--483,
  Proc. Sympos. Pure Math., 63,
  Amer. Math. Soc., Providence, RI, 1998.
  55N20 (55P42 55R25)
• 1402886
  Rudyak, Yu. B.(D-HDBG)
  On the Ganea conjecture for manifolds. (English. English summary)
  Proc. Amer. Math. Soc. 125 (1997), no. 8, 2511--2512.
  55M30 (57Q99 57R19)
• 1224927
  Rudyak, Yuly(RS-MSCE)
  On the orientability of bundles and fibrations: the obstruction theory and applications to $K,\;K{\rm O}$ and Morava $K$-theories.
  Algebraic topology (Oaxtepec, 1991), 383--405,
  Contemp. Math., 146,
  Amer. Math. Soc., Providence, RI, 1993.
  55S35 (55N15 55N20 55P42 55R25)
• 1178276
  Rudyak, Yu. B.(RS-MSUCE)
  The problem of realization of homology classes from Poincaré up to the present [MR 92k:55006].
  Global analysis---studies and applications, V, 93--110,
  Lecture Notes in Math., 1520,
  Springer, Berlin, 1992.
  55N22 (01A60 55P42 57Q99 57R95)
• 1131532
  Rudyak, Yu. B.(RS-MSCE)
  The problem of the realization of homology classes: from Poincaré to the present time. (Russian)
  Algebraic problems in analysis and topology (Russian), 61--76, 160,
  Novoe Global. Anal.,
  Voronezh. Gos. Univ., Voronezh, 1990.
  55N22 (01A60 55P42 57Q99 57R95)
• 1051054
  Rudyak, Yu. B.(2-MSCE)
  Some relations in the piecewise linear cobordism ring. (Russian)
  Mat. Zametki 46 (1989), no. 6, 75--84, 127; translation in Math. Notes 46 (1989), no. 5-6, 939--945 (1990)
  57R90 (55N22)
• 1034429
  Rudyak, Yu. B.(2-MSCE)
  Orientability of bundles: obstruction theory and applications to $K$-theory. (Russian)
  Mat. Sb. 180 (1989), no. 11, 1561--1582, 1584; translation in Math. USSR-Sb. 68 (1991), no. 2, 429--451
  55S35 (55N20 55R65 57R22)
• 0947799 (89g:55027)
  Rudyak, Yu. B.(2-MSCE)
  On the orientability of spherical, topological and piecewise linear bundles in complex $K$-theory. (Russian) Dokl. Akad. Nauk SSSR 298 (1988), no. 6, 1338--1341; translation in
  Soviet Math. Dokl. 37 (1988), no. 1, 283--286
  55R25 (55N20 55P42)
  
• 0898135 (88j:57019)
  Rudyak, Yu. B.(2-MSCE)
  On the realization of the homology classes by PL-manifolds with singularities. (Russian)
  Mat. Zametki 41 (1987), no. 5, 741--749, 767.
  57Q60 (57R95)
  
• 0864277 (87m:55003)
  Rudyak, Yu. B.
  Exactness theorems for the cohomology theories $M{\rm U}$, ${\rm BP}$ and $P(n)$. (Russian)
  Mat. Zametki 40 (1986), no. 1, 115--126, 141.
  55N22 (57R77)
  
• 0814271 (87i:55044)
  Akhmetʹev, P. M.; Rudyak, Yu. B.
  The behavior of Bokshteĭn homomorphisms on infinite cell complexes. (Russian)
  Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1985, no. 5, 31--33, 96.
  55S35
  
• 0775299 (86e:55031)
  Rudyak, Yu. B.; Khokhlov, A. V.
  Higher cohomology operations on Thom classes. (Russian)
  Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1984, no. 6, 26--31, 110.
  55S20 (55R25 57R20)
  
• 0770235 (86j:55006)
  Hohlov, A. V.; Pazhitnov, A. V.; Rudjak, Ju. B.
  On the homotopical structure and applications of Morava's extraordinary $K$-theories. Topology (Leningrad, 1982), 151--163,
  Lecture Notes in Math., 1060, Springer, Berlin, 1984.
  55N20 (18F25 19L41 55R25)
  
• 0757717 (85i:57009)
  Brauder, V.
  {\cyr Perestroĭki odnosvyaznykh mnogoobraziĭ}. (Russian) [Surgery on simply-connected manifolds]
  Translated from the English by Yu. B. Rudyak. Translation edited and with a preface and an appendix by A. S. Mishchenko. ``Nauka'', Moscow, 1984. 208 pp.
  57R65 (57-02)
  
• 0754472 (86j:55007)
  Pazhitnov, A. V.; Rudyak, Yu. B.
  Commutative ring spectra of characteristic $2$. (Russian)
  Mat. Sb. (N.S.) 124(166) (1984), no. 4, 486--494.
  55N20 (55N22 55P42)
  
• 0751236 (85j:57022)
  Madsen, I.; Milgrèm, R.
  {\cyr Klassifitsiruyushchie prostranstva dlya perestroek i kobordizmov mnogoobraziĭ}. (Russian) [The classifying spaces for surgery and cobordism of manifolds]
  Translated from the English and with an appendix by Yu. B. Rudyak. Translation edited by M. M. Postnikov. {\cyr Matematika: Novoe v Zarubezhnoĭ Nauke} [Mathematics: Recent Publications in Foreign Science], 35. ``Mir'', Moscow, 1984. 279 pp.
  57N70 (55P47 55R35 57-02 57Q60 57R65)
  
• 0693904 (84d:55001)
  Adams, Dzh.
  {\cyr Beskonechnokratnye prostranstva petelʹ}. (Russian) [Infinite loop spaces]
  Translated from the English by Yu. B. Rudyak and A. V. Shokurov. Translation edited and with a preface by D. B. Fuks. ``Mir'', Moscow, 1982. 200 pp.
  55-02 (55P47)
  
• 0597958 (82h:55018)
  Rudjak, Ju. B.
  On the Thom-Dold isomorphism for nonorientable vector bundles. (Russian)
  Dokl. Akad. Nauk SSSR 255 (1980), no. 6, 1323--1325.
  55R25 (55N20 57N65)
  
• 0617738 (82e:57021)
  Bredon, Glen E.
  {\cyr Vvedenie v teoriyu kompaktnykh grupp preobrazovaniĭ}. (Russian) [Introduction to compact transformation groups]
  Translated from the English by Ju. B. Rudjak. ``Nauka'', Moscow, 1980. 440 pp.
  57S15
  
• 0494068
  Rudjak, Ju. B.
  Theorems of Conner-Floyd type in the theory of unitary cobordism. (Russian)
  Izv. Akad. Nauk SSSR Ser. Mat. 42 (1978), no. 3, 654--666.
  55B20 (57D90)
  
• 0645371
  Efremovič, V. A.; Rudjak, Ju. B.
  The Descartes-Euler characteristic. (Russian) Qualitative and approximate methods for the investigation of operator equations, No. 1 (Russian), pp. 35--38. Jaroslav. Gos. Univ., Yaroslavl, 1976.
  55C25 (57C05)
  
• 0458412
  Efremovič, V. A.; Rudjak, Ju. B.
  On the concept of the Euler characteristic. (Russian)
  Uspehi Mat. Nauk 31 (1976), no. 5(191), 239--240.
  55C99 (55B40)
  
• 0448330
  {\cyr Dolʹd, A.}; Dolʹd, A.
  {\cyr Lektsii po algebraicheskoĭ topologii.} (Russian) [Lectures on algebraic topology]
  Translated from the English by Ju. B. Rudjak and A. F. Harˇsiladze. Edited by D. B. Fuks. Izdat. ``Mir'', Moscow, 1976. 463 pp.
  55-01
  
• 0400207
  Rudjak, Ju. B.
  Formal groups, and bordism with singularities. (Russian)
  Mat. Sb. (N.S.) 96(138) (1975), no. 4, 523--542, 645.
  55B20 (57D90 14L05)
  
• 0377916
  Rudjak, Ju. B.
  The normal invariants of certain manifolds. (Russian)
  Mat. Zametki 16 (1974), 763--769.
  57D12
  
• 0370555
  Rudjak, Ju. B.
  Connective $k$-theory, and bordism of manifolds with singularities. (Russian)
  Dokl. Akad. Nauk SSSR 216 (1974), 1222--1225.
  55B20 (57D90)
  
• 0334181
  Rudjak, Ju. B.
  The fundamental group of a three-dimensional manifold. (Russian)
  Dokl. Akad. Nauk SSSR 210 (1973), 771--774.
  55A05