Volume 10, issue 2 (2010)

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The Lusternik–Schnirelmann category and the fundamental group

Alexander Dranishnikov

Algebraic & Geometric Topology 10 (2010) 917–924
Bibliography
1 G E Bredon, Introduction to compact transformation groups, Academic Press (1972) MR0413144
2 K S Brown, Cohomology of groups, Graduate Texts in Math. 87, Springer (1982) MR672956
3 O Cornea, G Lupton, J Oprea, D Tanré, Lusternik–Schnirelmann category, Math. Surveys and Monogr. 103, Amer. Math. Soc. (2003) MR1990857
4 A Dold, Partitions of unity in the theory of fibrations, Ann. of Math. $(2)$ 78 (1963) 223 MR0155330
5 A N Dranishnikov, On the Lusternik–Schnirelmann category of spaces with $2$–dimensional fundamental group, Proc. Amer. Math. Soc. 137 (2009) 1489 MR2465675
6 A N Dranishnikov, M G Katz, Y B Rudyak, Small values of the Lusternik–Schnirelmann category for manifolds, Geom. Topol. 12 (2008) 1711 MR2421138
7 S Eilenberg, T Ganea, On the Lusternik–Schnirelmann category of abstract groups, Ann. of Math. $(2)$ 65 (1957) 517 MR0085510
8 D P Grossman, An estimation of the category of Lusternik–Schnirelmann, C. R. $($Doklady$)$ Acad. Sci. URSS $($N.S.$)$ 54 (1946) 109 MR0018820
9 W Hurewicz, On the concept of fiber space, Proc. Nat. Acad. Sci. USA 41 (1955) 956 MR0073987
10 P A Ostrand, Dimension of metric spaces and Hilbert's problem $13$, Bull. Amer. Math. Soc. 71 (1965) 619 MR0177391
11 E H Spanier, Algebraic topology, McGraw-Hill (1966) MR0210112
12 J Stallings, Groups of dimension 1 are locally free, Bull. Amer. Math. Soc. 74 (1968) 361 MR0223439
13 J Strom, Lusternik–Schnirelmann category of spaces with free fundamental group, Algebr. Geom. Topol. 7 (2007) 1805 MR2366179
14 A S Švarc, The genus of a fibered space, Trudy Moskov. Mat. Obšč. 10 (1961) 217 MR0154284
15 R G Swan, Groups of cohomological dimension one, J. Algebra 12 (1969) 585 MR0240177
16 G W Whitehead, The homology suspension, from: "Colloque de topologie algébrique, Louvain, 1956", Georges Thone, Liège (1957) 89 MR0094794