The Ganea and Whitehead Variants of the\\Lusternik--Schnirelmann Category
Printed: Mar 2006
Mohammed El Haouari
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''.
55P30 - Eckmann-Hilton duality