%0 Journal Article %T Inductive Lusternik-Schnirelmann category in a model category %A J. M. Garcia-Calcines %A P. R. Garcia-Diaz %J Mathematics %D 2006 %I arXiv %R 10.1016/j.jpaa.2007.05.005 %X 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. %U http://arxiv.org/abs/math/0612619v1