Globular subdivisions are dihomotopy equivalences
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918313140944896 |
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| author | Gaucher, Philippe |
| author_facet | Gaucher, Philippe |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_11773 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Globular subdivisions are dihomotopy equivalences Gaucher, Philippe Algebraic Topology Category Theory 55U35 (Primary), 55U99, 68Q85 (Secondary) 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. |
| title | Globular subdivisions are dihomotopy equivalences |
| topic | Algebraic Topology Category Theory 55U35 (Primary), 55U99, 68Q85 (Secondary) |
| url | https://arxiv.org/abs/2502.11773 |