2004/01/05 by Philippe Gaucher, Gaucher, Philippe
Computer Science · Mathematics · #55P99 #68Q85 #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.math/0401033
openalex publication_date 2004/01/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.