Inductive Lusternik-Schnirelmann category in a model category

Mathematics – Algebraic Topology

Scientific paper

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14 pages

Scientific paper

10.1016/j.jpaa.2007.05.005

We introduce the notion of inductive category in a model category and prove
that it 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.

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