Geodesic
Lusternik-Schnirelmann category and products of local spaces
Homology, homotopy, and applications, Tome 11 (2009) no. 2, pp. 275-307.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2009.v11.n2.a14
Classification : 55M30, 55P60
Keywords: L.S. category, M-category, minimal model 
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     author = {Manfred Stelzer},
     title = {Lusternik-Schnirelmann category and products of local spaces},
     journal = {Homology, homotopy, and applications},
     pages = {275--307},
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     number = {2},
     year = {2009},
     doi = {10.4310/HHA.2009.v11.n2.a14},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2009.v11.n2.a14/}
}
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Manfred Stelzer. Lusternik-Schnirelmann category and products of local spaces. Homology, homotopy, and applications, Tome 11 (2009) no. 2, pp. 275-307. doi : 10.4310/HHA.2009.v11.n2.a14. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2009.v11.n2.a14/

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