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arXiv:math/0401033 [math.AT]AbstractReferencesReviewsResources

T-homotopy and refinement of observation (V) : Strom model structure for branching and merging homologies

Philippe Gaucher

Published 2004-01-05, updated 2020-06-17Version 3

We check that there exists a model structure on the category of flows whose weak equivalences are the S-homotopy equivalences. As an application, we prove that the generalized T-homotopy equivalences preserve the branching and merging homology theories of a flow. The method of proof is completely different from the one of the third part of this series of papers.

Comments: The material is obsolete. The good h-model structure of flows is constructed in arXiv:1904.04159 and the section about the branching and merging homologies contains a mistake
Categories: math.AT, math.CT
Subjects: 55P99, 68Q85
Related articles: Most relevant | Search more
arXiv:math/0505152 [math.AT] (Published 2005-05-09, updated 2006-01-19)
T-homotopy and refinement of observation (I) : Introduction
arXiv:math/0505328 [math.AT] (Published 2005-05-16, updated 2007-03-26)
T-homotopy and refinement of observation (II) : Adding new T-homotopy equivalences
arXiv:math/0505329 [math.AT] (Published 2005-05-16, updated 2006-09-20)
T-homotopy and refinement of observation (III) : Invariance of the branching and merging homologies

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