When are two spaces homotopy equivalent?
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909974994616320 |
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| author | Šimková, Mária |
| author_facet | Šimková, Mária |
| contents | This paper investigates sufficient and necessary conditions for the existence of a homotopy equivalence between two finite simplicial complexes from an algorithmic point of view. As a result, the conditions are formulated in terms of the underlying data of Postnikov towers for simplicial sets with so-called effective homology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_10443 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | When are two spaces homotopy equivalent? Šimková, Mária Algebraic Topology This paper investigates sufficient and necessary conditions for the existence of a homotopy equivalence between two finite simplicial complexes from an algorithmic point of view. As a result, the conditions are formulated in terms of the underlying data of Postnikov towers for simplicial sets with so-called effective homology. |
| title | When are two spaces homotopy equivalent? |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2105.10443 |