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arXiv · 2502.11773

Globular subdivisions are dihomotopy equivalences

Philippe Gaucher
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Abstract

We prove that any globular subdivision of multipointed $d$-spaces gives rise to a dihomotopy equivalence between the associated flows. As a straightforward application, the flows associated to two multipointed $d$-spaces related by a finite zigzag of globular subdivisions have isomorphic branching and merging homology theories and isomorphic underlying homotopy types.

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Philippe Gaucher. 2025-02-17. Globular subdivisions are dihomotopy equivalences. https://doi.org/10.36045/j.bbms.250522

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