Comparing globular complex and flow

dc.creatorGaucher, Philippe
dc.date2003-08-07
dc.date2005-02-26
dc.date.accessioned2026-07-07T05:00:13Z
dc.date.available2026-07-07T05:00:13Z
dc.descriptionA 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.
dc.description54 pages ; 3 figures ; Second paper corresponding to the content of math.AT/0201252 ; v2 : very minor changes ; v3 : final version
dc.identifierhttps://arxiv.org/abs/math/0308063
dc.identifierhttp://arxiv.org/abs/math/0308063
dc.identifierNew-York Journal of Mathematics, vol. 11 : p. 97-150, 2005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68267
dc.subjectAlgebraic Topology
dc.subjectCategory Theory
dc.subject55P99; 55U99; 68Q85
dc.titleComparing globular complex and flow
dc.typetext

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