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The Ganea and Whitehead Variants of the\\Lusternik--Schnirelmann Category

Open Access article
 Printed: Mar 2006
  • Jean-Paul Doeraene
  • Mohammed El Haouari
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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 show english descriptions Eckmann-Hilton duality 55P30 - Eckmann-Hilton duality

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