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The Ganea and Whitehead Variants of the\\Lusternik--Schnirelmann Category |
Canad. Math. Bull. 49(2006), 41-54
Published:2006-03-01
Printed: Mar 2006
Printed: Mar 2006
- Jean-Paul Doeraene
- Mohammed El Haouari
Abstract
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''.
| MSC Classifications: | 55P30 - Eckmann-Hilton duality |