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

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DOI

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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     title = {The {Ganea} and {Whitehead} {Variants} of the {Lusternik{\textendash}Schnirelmann} {Category}},
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