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Article Dans Une Revue The New York Journal of Mathematics Année : 2005

Comparing globular complex and flow

Philippe Gaucher

Résumé

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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Dates et versions

hal-00150923 , version 1 (01-06-2007)

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  • HAL Id : hal-00150923 , version 1

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Philippe Gaucher. Comparing globular complex and flow. The New York Journal of Mathematics, 2005, 11, pp.97-150. ⟨hal-00150923⟩
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