Algebraic & Geometric Topology Volume 10, issue 2 (2010)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP Journals

The Lusternik–Schnirelmann category and the fundamental group

Alexander Dranishnikov

Algebraic & Geometric Topology 10 (2010) 917–924

DOI: 10.2140/agt.2010.10.917

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