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

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

2004-01-05

arxiv.org/abs/math/0401033v2

Mathematics

Algebraic Topology

v2 : an application added ; 26 pages

Scientific paper

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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