English

Inductive Lusternik-Schnirelmann category in a model category

Algebraic Topology 2009-02-28 v1 Category Theory

Abstract

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.

Keywords

Cite

@article{arxiv.math/0612619,
  title  = {Inductive Lusternik-Schnirelmann category in a model category},
  author = {J. M. Garcia-Calcines and P. R. Garcia-Diaz},
  journal= {arXiv preprint arXiv:math/0612619},
  year   = {2009}
}

Comments

14 pages