Homology, Homotopy and Applications

Volume 11 (2009)

Number 2

Lusternik-Schnirelmann category and products of local spaces

Pages: 275 – 307

DOI: http://dx.doi.org/10.4310/HHA.2009.v11.n2.a14

Author

Manfred Stelzer (Institut fuer Mathematik, Universitaet Osnabrueck, Germany)

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.

Keywords

L.S. category; M-category; minimal model

2010 Mathematics Subject Classification

55M30, 55P60

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