Geodesic
The Ganea and Whitehead Variants of the Lusternik–Schnirelmann Category
Canadian mathematical bulletin, Tome 49 (2006) no. 1, pp. 41-54

Voir la notice de l'article provenant de la source Cambridge University Press

The Lusternik–Schnirelmann category has been described in different ways. Two major ones, the first by Ganea, the second by Whitehead, are presented here with a number of variants. The equivalence of these variants relies on the axioms of Quillen's model category, but also sometimes on an additional axiom, the so-called “cube axiom”.
DOI : 10.4153/CMB-2006-005-4
Mots-clés : 55P30, Eckmann-Hilton duality 
Doeraene, Jean-Paul; Haouari, Mohammed El. The Ganea and Whitehead Variants of the Lusternik–Schnirelmann Category. Canadian mathematical bulletin, Tome 49 (2006) no. 1, pp. 41-54. doi: 10.4153/CMB-2006-005-4
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