Volume 4, issue 2 (2004)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 26
Issue 4, 1229–1596
Issue 3, 825–1227
Issue 2, 411–824
Issue 1, 1–410

Volume 25, 9 issues

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Implications of the Ganea condition

Norio Iwase, Donald Stanley and Jeffrey Strom

Algebraic & Geometric Topology 4 (2004) 829–839
Bibliography
1 A Bassi, Su alcuni nuovi invarianti delle varietà topologiche, Ann. Mat. Pura Appl. 16 (1937) 275 MR1553300
2 H J Baues, Iterierte Join–Konstruktionen, Math. Z. 131 (1973) 77 MR0346784
3 I Berstein, T Ganea, The category of a map and of a cohomology class, Fund. Math. 50 (1961/1962) 265 MR0139168
4 O Cornea, G Lupton, J Oprea, D Tanré, Lusternik–Schnirelmann category, Mathematical Surveys and Monographs 103, American Mathematical Society (2003) MR1990857
5 T Ganea, Some problems on numerical homotopy invariants, from: "Symposium on Algebraic Topology (Battelle Seattle Res. Center, Seattle Wash., 1971)", Springer (1971) MR0339147
6 T Ganea, A generalization of the homology and homotopy suspension, Comment. Math. Helv. 39 (1965) 295 MR0179791
7 T Ganea, Lusternik–Schnirelmann category and strong category, Illinois J. Math. 11 (1967) 417 MR0229240
8 N Iwase, Ganea's conjecture on Lusternik–Schnirelmann category, Bull. London Math. Soc. 30 (1998) 623 MR1642747
9 N Iwase, $A_\infty$–method in Lusternik–Schnirelmann category, Topology 41 (2002) 695 MR1905835
10 I M James, On category, in the sense of Lusternik–Schnirelmann, Topology 17 (1978) 331 MR516214
11 M Mather, Pull-backs in homotopy theory, Canad. J. Math. 28 (1976) 225 MR0402694
12 D Stanley, Spaces and Lusternik–Schnirelmann category $n$ and cone length $n+1$, Topology 39 (2000) 985 MR1763960
13 D Stanley, On the Lusternik–Schnirelmann category of maps, Canad. J. Math. 54 (2002) 608 MR1900766
14 H Scheerer, D Stanley, D Tanré, Fibrewise construction applied to Lusternik–Schnirelmann category, Israel J. Math. 131 (2002) 333 MR1942316
15 N E Steenrod, A convenient category of topological spaces, Michigan Math. J. 14 (1967) 133 MR0210075
16 A S Švarc, The genus of a fibered space, Trudy Moskov. Mat. Obšč. 10 (1961) 217 MR0154284
17 L Vandembroucq, Fibrewise suspension and Lusternik–Schnirelmann category, Topology 41 (2002) 1239 MR1923222