Are two finite $H$-spaces homotopy equivalent?
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917837903233024 |
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| author | Šimková, Mária |
| author_facet | Šimková, Mária |
| contents | This paper proposes an algorithm that decides if two simply connected spaces represented by finite simplicial sets of finite $k$-type and finite dimension $d$ are homotopy equivalent. If the spaces are homotopy equivalent, the algorithm finds a homotopy equivalence between their Postnikov stages in dimension $d$. As a consequence, we get an algorithm deciding if two spaces represented by finite simplicial sets are stably homotopy equivalent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_00895 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Are two finite $H$-spaces homotopy equivalent? Šimková, Mária Algebraic Topology This paper proposes an algorithm that decides if two simply connected spaces represented by finite simplicial sets of finite $k$-type and finite dimension $d$ are homotopy equivalent. If the spaces are homotopy equivalent, the algorithm finds a homotopy equivalence between their Postnikov stages in dimension $d$. As a consequence, we get an algorithm deciding if two spaces represented by finite simplicial sets are stably homotopy equivalent. |
| title | Are two finite $H$-spaces homotopy equivalent? |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2203.00895 |