Iwase, Norio Lusternik-Schnirelmann theory to topological complexity from \(A_{\infty}\)-view point. (English) Zbl 1516.55003 Topol. Methods Nonlinear Anal. 61, No. 1, 217-238 (2023). Reviewer: Yuli Rudyak (Gainesville) MSC: 55M30 18M75 55P05 55P10 55P45 55P48 55Q25 55R35 55R70 55S10 55-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vylegzhanin, F. E. Pontryagin algebras and the LS-category of moment-angle complexes in the flag case. (English. Russian original) Zbl 1504.05311 Proc. Steklov Inst. Math. 317, 55-77 (2022); translation from Tr. Mat. Inst. Steklova 317, 64-88 (2022). MSC: 05E45 13F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dranishnikov, Alexander On the LS-category of product of Iwase’s manifolds. (English) Zbl 1490.55002 Proc. Am. Math. Soc. 150, No. 5, 2209-2222 (2022). Reviewer: José Calcines (La Laguna) MSC: 55M30 55M25 57N65 × Cite Format Result Cite Review PDF Full Text: DOI
Beben, Piotr; Grbić, Jelena LS-category of moment-angle manifolds and higher order Massey products. (English) Zbl 1486.55005 Forum Math. 33, No. 5, 1179-1205 (2021). Reviewer: Marja Kankaanrinta (Helsinki) MSC: 55M30 55U10 32Q55 05E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Buchstaber, Viktor M.; Limonchenko, Ivan Yu. Massey products, toric topology and combinatorics of polytopes. (English. Russian original) Zbl 1430.13034 Izv. Math. 83, No. 6, 1081-1136 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 6, 3-62 (2019). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13F55 14M25 55S30 52B11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Selick, Paul; Theriault, Stephen New perspectives on the classifying space of the fibre of the double suspension. (English) Zbl 1420.55026 Proc. Am. Math. Soc. 147, No. 3, 1325-1333 (2019). MSC: 55Q40 55P35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Khalil, Assakta; Bin Ahmad, Abd Ghafur Completely regular maps and Lusternik-Schnirelmann category. (English) Zbl 1430.55003 JP J. Geom. Topol. 21, No. 1, 65-73 (2018). MSC: 55M30 55R05 54E40 × Cite Format Result Cite Review PDF Full Text: DOI
Doeraene, Jean-Paul Sectional category of the Ganea fibrations and higher relative category. (English) Zbl 1364.55004 Chin. J. Math. (New York) 2016, Article ID 8320742, 5 p. (2016). MSC: 55M30 × Cite Format Result Cite Review PDF Full Text: DOI
Iwase, Norio; Kikuchi, Kai; Miyauchi, Toshiyuki On Lusternik-Schnirelmann category of \(\mathbf{SO}(10)\). (English) Zbl 1358.55002 Fundam. Math. 234, No. 3, 201-227 (2016). Reviewer: Yuli Rudyak (Gainesville) MSC: 55M30 55Q25 55R10 55T10 55T15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M. Equivariant topology of configuration spaces. (English) Zbl 1329.55019 J. Topol. 8, No. 2, 414-456 (2015). Reviewer: Nicholas A. Scoville (Collegeville) MSC: 55R80 14N20 55M30 55Q91 55S91 52A37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gómez-Larrañaga, J. C.; González-Acuña, F.; Heil, Wolfgang Old and new categorical invariants of manifolds. (English) Zbl 1311.57029 Bol. Soc. Mat. Mex., III. Ser. 20, No. 2, 177-198 (2014). Reviewer: Jose Calcines (La Laguna) MSC: 57N10 57N13 57N15 57M30 × Cite Format Result Cite Review PDF Full Text: DOI
Barmak, Jonathan Ariel Star clusters in independence complexes of graphs. (English) Zbl 1288.57004 Adv. Math. 241, 33-57 (2013). Reviewer: Etienne Fieux (Toulouse) MSC: 57M15 05C69 55P15 05C10 55P40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Costoya, Cristina; Viruel, Antonio Inductive LS cocategory and localisation. (English) Zbl 1286.55003 Manuscr. Math. 140, No. 3-4, 295-302 (2013). Reviewer: Yuli Rudyak (Gainesville) MSC: 55M30 55P60 20F18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kadzisa, Hiroyuki; Mimura, Mamoru Morse-Bott functions and the Lusternik-Schnirelmann category. (English) Zbl 1233.55004 J. Fixed Point Theory Appl. 10, No. 1, 63-85 (2011). Reviewer: Dorin Andrica (Riyadh) MSC: 55M30 58E05 22F30 53C35 × Cite Format Result Cite Review PDF Full Text: DOI
Stanley, Donald; Rodríguez Ordóñez, Hugo A minimum dimensional counterexample to Ganea’s conjecture. (English) Zbl 1198.55003 Topology Appl. 157, No. 14, 2304-2315 (2010). Reviewer: Yves Félix (Louvain-La-Neuve) MSC: 55M30 × Cite Format Result Cite Review PDF Full Text: DOI
Iwase, Norio; Sakai, Michihiro Topological complexity is a fibrewise L-S category. (English) Zbl 1192.55002 Topology Appl. 157, No. 1, 10-21 (2010); erratum ibid. 159, No. 10–11, 2810–2813 (2012). Reviewer: Yuli Rudyak (Gainesville) MSC: 55M30 55Q25 55R70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Choi, Younggi On the category weight of \(\mathrm{Spin}(n)\). (English) Zbl 1176.55003 Topology Appl. 156, No. 14, 2370-2375 (2009). Reviewer: C. S. Hoo (Edmonton) MSC: 55M30 57T35 × Cite Format Result Cite Review PDF Full Text: DOI
Stelzer, Manfred \(A_{n}\) theory, L.S. category, and strong category. (English) Zbl 1140.55003 Math. Z. 257, No. 1, 81-106 (2007). Reviewer: Yuli Rudyak (Gainesville) MSC: 55M30 55P45 55P48 × Cite Format Result Cite Review PDF Full Text: DOI
Iwase, Norio; Kono, Akira Lusternik-Schnirelmann category of \({Spin}{(9)}\). (English) Zbl 1112.55004 Trans. Am. Math. Soc. 359, No. 4, 1517-1526 (2007). Reviewer: Yuli Rudyak (Gainesville) MSC: 55M30 11E57 55N20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kadzisa, Hiroyuki Cone-decompositions of the unitary groups. (English) Zbl 1089.55003 Topology Appl. 153, No. 9, 1383-1398 (2006). Reviewer: Jan Jaworowski (Bloomington) MSC: 55M30 57S25 22E20 57N60 × Cite Format Result Cite Review PDF Full Text: DOI
Cárdenas, M.; Muro, F.; Quintero, A. The proper L-S category of Whitehead manifolds. (English) Zbl 1088.55003 Topology Appl. 153, No. 4, 557-579 (2005). Reviewer: Yves Félix (Louvain-La-Neuve) MSC: 55M30 55P57 57N65 × Cite Format Result Cite Review PDF Full Text: DOI
Félix, Yves; Tanré, Daniel \(H\)-space structure on pointed mapping spaces. (English) Zbl 1082.55006 Algebr. Geom. Topol. 5, 713-724 (2005). Reviewer: Yuli Rudyak (Gainesville) MSC: 55P45 55M30 55P62 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML EMIS
Iwase, Norio; Mimura, Mamoru; Nishimoto, Tetsu Lusternik–Schnirelmann category of non-simply connected compact simple Lie groups. (English) Zbl 1069.55001 Topology Appl. 150, No. 1-3, 111-123 (2005). Reviewer: Yves Félix (Louvain-La-Neuve) MSC: 55M30 22E20 57N60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iwase, Norio; Stanley, Donald; Strom, Jeffrey Implications of the Ganea Condition. (English) Zbl 1067.55002 Algebr. Geom. Topol. 4, 829-839 (2004). Reviewer: Jan Jaworowski (Bloomington) MSC: 55M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML EMIS
Iwase, Norio; Mimura, Mamoru; Nishimoto, Tetsu On the cellular decomposition and the Lusternik-Schnirelmann category of Spin(7). (English) Zbl 1035.55005 Topology Appl. 133, No. 1, 1-14 (2003). Reviewer: Jan Jaworowski (Bloomington) MSC: 55M30 57N60 22E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kahl, Thomas On the algebraic approximation of Lusternik–Schnirelmann category. (English) Zbl 1035.55006 J. Pure Appl. Algebra 181, No. 2-3, 227-277 (2003). Reviewer: G. H. Norton (Brisbane) MSC: 55M30 55U35 × Cite Format Result Cite Review PDF Full Text: DOI
Lechuga, Luis Computing the Sullivan Milnor-Moore S. S. and the rational LS category of certain spaces. (English) Zbl 1010.55002 Topology Appl. 125, No. 3, 581-591 (2002). Reviewer: John McCleary (Cambridge) MSC: 55M30 13P10 55T99 55P62 × Cite Format Result Cite Review PDF Full Text: DOI
Fernández-Suárez, Lucía; Gómez-Tato, Antonio; Tanré, Daniel Hopf-Ganea invariants and weak LS category. (English) Zbl 0987.55013 Topology Appl. 115, No. 3, 305-316 (2001). Reviewer: Y.Felix (Louvain-La-Neuve) MSC: 55Q25 55M30 × Cite Format Result Cite Review PDF Full Text: DOI
Cuvilliez, Maxence L. S. category of the total space in a fibration and \(k\)-monomorphisms. (English) Zbl 0978.55001 Topology Appl. 109, No. 2, 127-146 (2001). Reviewer: Lucia Fernandez Suarez (Braga) MSC: 55M30 55P62 × Cite Format Result Cite Review PDF Full Text: DOI
Scheerer, H.; Tanré, D. Variations on the concept of Lyusternik-Schnirelman category. (Variation zum Konzept der Lusternik-Schnirelmann-Kategorie.) (German) Zbl 0933.55003 Math. Nachr. 207, 183-194 (1999). Reviewer: Yuli Rudyak (Bonn) MSC: 55M30 55P60 × Cite Format Result Cite Review PDF Full Text: DOI
Félix, Yves; Murillo, Aniceto A bound for the nilpotency of a group of self homotopy equivalences. (English) Zbl 0891.55011 Proc. Am. Math. Soc. 126, No. 2, 625-627 (1998). Reviewer: D.W.Kahn (Minneapolis) MSC: 55P10 55M30 × Cite Format Result Cite Review PDF Full Text: DOI
Cornea, Octavian Lusternik-Schnirelmann-categorical sections. (English) Zbl 0858.55007 Ann. Sci. Éc. Norm. Supér. (4) 28, No. 6, 689-704 (1995). Reviewer: Y.Felix (Louvain-La-Neuve) MSC: 55M30 55P60 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Cornea, Octavian There is just one rational cone-length. (English) Zbl 0813.55003 Trans. Am. Math. Soc. 344, No. 2, 835-848 (1994). MSC: 55P62 55M30 × Cite Format Result Cite Review PDF Full Text: DOI
Hess, Kathryn P.; Lemaire, Jean-Michel Generalizing a definition of Lusternik and Schnirelmann to model categories. (English) Zbl 0790.55007 J. Pure Appl. Algebra 91, No. 1-3, 165-182 (1994). Reviewer: Y.Felix (Louvain-La-Neuve) MSC: 55M30 55P62 55U35 × Cite Format Result Cite Review PDF Full Text: DOI
Doeraene, Jean-Paul L.S.-category in a model category. (English) Zbl 0777.55007 J. Pure Appl. Algebra 84, No. 3, 215-261 (1993). Reviewer: D.Tanré (Villeneuve d’Ascq) MSC: 55M30 55U35 × Cite Format Result Cite Review PDF Full Text: DOI
Jessup, Barry New estimates for the collapse of the Milnor-Moore spectral sequence over a field. (English) Zbl 0744.55002 Proc. Am. Math. Soc. 114, No. 4, 1115-1117 (1992). Reviewer: Y.Felix (Louvain-La-Neuve) MSC: 55M30 55T99 55P62 55P60 × Cite Format Result Cite Review PDF Full Text: DOI
Felix, Y.; Halperin, S.; Thomas, J.-C. The category of a map and the grade of a module. (English) Zbl 0773.55003 Isr. J. Math. 78, No. 2-3, 177-196 (1992). Reviewer: T.Kadeishvili (Tbilisi) MSC: 55M30 55P35 × Cite Format Result Cite Review PDF Full Text: DOI
Ndombol, Bitjong On the Lusternik-Schnirelmann category of cochain algebras. (Sur la catégorie de Lusternik-Schnirelmann des algèbres de cochaînes.) (French) Zbl 0736.55006 Ann. Inst. Fourier 41, No. 4, 937-988 (1991). Reviewer: B.Ndombol MSC: 55M30 18G55 17A50 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Cavicchioli, Alberto Covering numbers of manifolds and critical points of a Morse function. (English) Zbl 0711.57021 Isr. J. Math. 70, No. 3, 279-304 (1990). Reviewer: A.Riede MSC: 57R70 58E05 57N10 57N13 57M40 55M30 × Cite Format Result Cite Review PDF Full Text: DOI
Clapp, Mónica; Puppe, Dieter The generalized Lusternik-Schnirelmann category of a product space. (English) Zbl 0709.55001 Trans. Am. Math. Soc. 321, No. 2, 525-532 (1990). Reviewer: C.S.Hoo MSC: 55M30 × Cite Format Result Cite Review PDF Full Text: DOI
McGibbon, C. A. Higher forms of homotopy commutativity and finite loop spaces. (English) Zbl 0682.55006 Math. Z. 201, No. 3, 363-374 (1989). Reviewer: R.Vogt MSC: 55P45 55P35 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Montejano, Luis Categorical and contractible covers of polyhedra. (English) Zbl 0674.55004 Topology Appl. 32, No. 3, 251-266 (1989). MSC: 55M30 57Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Montejano, Luis Lusternik-Schnirelmann category and Hilbert cube manifolds. (English) Zbl 0646.58013 Topology Appl. 27, 29-35 (1987). Reviewer: V.Zoller MSC: 58E05 57N20 × Cite Format Result Cite Review PDF Full Text: DOI
Clapp, Mónica; Montejano, Luis Lusternik-Schnirelmann category and minimal coverings with contractible sets. (English) Zbl 0643.55002 Manuscr. Math. 58, 37-45 (1987). Reviewer: Yu. Zelinskij (Kyïv) MSC: 55M30 55R05 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Clapp, Mónica; Puppe, Dieter Invariants of the Lusternik-Schnirelmann type and the topology of critical sets. (English) Zbl 0618.55003 Trans. Am. Math. Soc. 298, 603-620 (1986). Reviewer: J.C.Thomas MSC: 55M30 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Singhof, Wilhelm Minimal coverings of manifolds with balls. (English) Zbl 0415.55001 Manuscr. Math. 29, 385-415 (1979). MSC: 55M30 57N15 57Q30 57Q65 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Singhof, Wilhelm On the Lusternik-Schnirelmann category of Lie groups. II. (English) Zbl 0343.55007 Math. Z. 151, 143-148 (1976). MSC: 55M30 57M05 55S20 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Singhof, Wilhelm On the Lusternik-Schnirelmann category of Lie groups. (English) Zbl 0315.55012 Math. Z. 145, 111-116 (1975). MSC: 55M30 57M05 57T99 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Draper, James A. Homotopy epimorphisms and Lusternik-Schnirelmann category. (English) Zbl 0312.55010 Proc. Am. Math. Soc. 50, 471-476 (1975). MSC: 55M30 55P30 55P45 55P99 × Cite Format Result Cite Review PDF Full Text: DOI
Toomer, Graham Hilton Lusternik-Schnirelmann category and the Moore spectral sequence. (English) Zbl 0284.55012 Math. Z. 138, 123-143 (1974). MSC: 55M30 55T20 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Hardie, K. A. On the category of the double mapping cylinder. (English) Zbl 0241.55015 Tohoku Math. J., II. Ser. 25, 355-358 (1973). MSC: 55M30 55Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Takens, F. The Lusternik-Schnirelman categories of a product space. (English) Zbl 0198.28302 Compos. Math. 22, 175-180 (1970). × Cite Format Result Cite Review PDF Full Text: Numdam EuDML