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.
@article{1296138522,
author = {Stelzer, Manfred},
title = {Lusternik-Schnirelmann category and products of local spaces},
journal = {Homology Homotopy Appl.},
volume = {11},
number = {1},
year = {2009},
pages = { 275-307},
language = {en},
url = {http://dml.mathdoc.fr/item/1296138522}
}
Stelzer, Manfred. Lusternik-Schnirelmann category and products of local spaces. Homology Homotopy Appl., Tome 11 (2009) no. 1, pp. 275-307. http://gdmltest.u-ga.fr/item/1296138522/