Note on L.-S. category and DGA modules
Kahl, Thomas
Bull. Belg. Math. Soc. Simon Stevin, Tome 12 (2006) no. 5, p. 703-717 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We define an algebraic approximation of the Lusternik-Schnirelmann category of a map and show that this invariant lies between A-category and M-category. We derive from this result a characterization of the Lusternik-Schnirelmann category of a rational space.
Publié le : 2006-12-14
Classification:  Lusternik-Schnirelmann category,  Adams-Hilton models,  55M30,  18G55,  55P62 
@article{1168957346,
     author = {Kahl, Thomas},
     title = {Note on L.-S. category and DGA modules},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {12},
     number = {5},
     year = {2006},
     pages = { 703-717},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1168957346}
}

Kahl, Thomas. Note on L.-S. category and DGA modules. Bull. Belg. Math. Soc. Simon Stevin, Tome 12 (2006) no. 5, pp.  703-717. http://gdmltest.u-ga.fr/item/1168957346/