Comparing globular complex and flow

Philippe Gaucher

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arXiv · math/0308063

Comparing globular complex and flow

Philippe Gaucher

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Abstract

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.

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BibTeX RIS

Philippe Gaucher. 2005-02-26. Comparing globular complex and flow. https://arxiv.org/abs/math/0308063

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