An inductive Lusternik–Schnirelmann category in a model category
Copyright policy )An inductive Lusternik–Schnirelmann category in a model category
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.
14 pages
model category, Algebra and Number Theory, 55M30; 55U35, Abstract and axiomatic homotopy theory in algebraic topology, Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects), Mathematics - Category Theory, LS-category, 55M30, homotopy invariant, FOS: Mathematics, Algebraic Topology (math.AT), Category Theory (math.CT), Mathematics - Algebraic Topology, 55U35
model category, Algebra and Number Theory, 55M30; 55U35, Abstract and axiomatic homotopy theory in algebraic topology, Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects), Mathematics - Category Theory, LS-category, 55M30, homotopy invariant, FOS: Mathematics, Algebraic Topology (math.AT), Category Theory (math.CT), Mathematics - Algebraic Topology, 55U35
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