Comparing globular complex and flow
摘要
A functor is constructed from the category of globular CW-complexes to that of flows. It allows the comparison of the S-homotopy equivalences (resp. the T-homotopy equivalences) of globular complexes with the S-homotopy equivalences (resp. the T-homotopy equivalences) of flows. Moreover, it is proved that this functor induces an equivalence of categories from the localization of the category of globular CW-complexes with respect to S-homotopy equivalences to the localization of the category of flows with respect to weak S-homotopy equivalences. As an application, we construct the underlying homotopy type of a flow.
引用
@article{arxiv.math/0308063,
title = {Comparing globular complex and flow},
author = {Philippe Gaucher},
journal= {arXiv preprint arXiv:math/0308063},
year = {2007}
}
备注
54 pages ; 3 figures ; Second paper corresponding to the content of math.AT/0201252 ; v2 : very minor changes ; v3 : final version