An inductive Lusternik–Schnirelmann category in a model category

We prove that the notion of an inductive category in a model category agrees with the Ganea approach given by Doeraene. This notion also coincides with the topological one when we consider the category of (well-)pointed topological spaces. An application is given.

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Bibliographic Details
Published inJournal of pure and applied algebra Vol. 212; no. 1; pp. 147 - 156
Main Authors García-Calcines, J.M., García-Díaz, P.R.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 2008
Subjects
55M30
55U35
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Summary:We prove that the notion of an inductive category in a model category agrees with the Ganea approach given by Doeraene. This notion also coincides with the topological one when we consider the category of (well-)pointed topological spaces. An application is given.
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2007.05.005