Abstract
Let X, Y be finite 1-connected p-local CW-complexes. We show that cat(X×Y)=cat(X)+cat(Y) holds if p is large and the loop space homology of X, Y satisfies a certain flatness assumption.
Citation
Manfred Stelzer. "Lusternik-Schnirelmann category and products of local spaces." Homology Homotopy Appl. 11 (2) 275 - 307, 2009.
Information
Published: 2009
First available in Project Euclid: 27 January 2011
zbMATH: 1194.55010
MathSciNet: MR2591922
Subjects:
Primary:
55M30
,
55P60
Keywords:
L.S. category
,
M-category
,
minimal model
Rights: Copyright © 2009 International Press of Boston
