Clapp-Puppe Type Lusternik-Schnirelmann (Co)category in a Model Category
Algebraic Topology
2007-05-23 v1
Abstract
We introduce Clapp-Puppe type generalized Lusternik-Schnirelmann (co)category in a Quillen model category. We establish some of their basic properties and give various characterizations of them. As the first application of these characterizations, we show that our generalized (co)category is invariant under Quillen modelization equivalences. In particular, generalized (co)category of spaces and simplicial sets coincide. Another application of these characterizations is to define and study rational cocategory. Various other applications are also given.
Keywords
Cite
@article{arxiv.math/0104267,
title = {Clapp-Puppe Type Lusternik-Schnirelmann (Co)category in a Model Category},
author = {Donald Yau},
journal= {arXiv preprint arXiv:math/0104267},
year = {2007}
}
Comments
To appear in J. Korean Math. Soc