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

Philippe Gaucher
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Abstract

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.

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Philippe Gaucher. 2004-01-05. T-homotopy and refinement of observation (V) : Strom model structure for branching and merging homologies. https://arxiv.org/abs/math/0401033

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