Lusternik-Schnirelmann category and products of local spaces
Stelzer, Manfred
Homology Homotopy Appl., Tome 11 (2009) no. 1, p. 275-307 / Harvested from Project Euclid
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.
Publié le : 2009-05-15
Classification:  L.S. category,  M-category,  minimal model,  55M30,  55P60
@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/