T-homotopy and refinement of observation (V) : Strom model structure for branching and merging homologies
Algebraic Topology
2020-06-18 v3 Category Theory
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.
Keywords
Cite
@article{arxiv.math/0401033,
title = {T-homotopy and refinement of observation (V) : Strom model structure for branching and merging homologies},
author = {Philippe Gaucher},
journal= {arXiv preprint arXiv:math/0401033},
year = {2020}
}
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The material is obsolete.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