Homotopy lifting property in symmetric products
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866909171731922944 |
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| author | Blanco-Gómez, Eduardo |
| author_facet | Blanco-Gómez, Eduardo |
| contents | In this paper we prove the homotopy lifting property for symmetric products $SP_{m}(X)$ and $F_{m}(X)$, with $X$ a Hausdorff topological space. Furthermore, we introduce a new tool, the theory of topological puzzles, to get a useful decomposition of $X^{m}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2002_12679 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Homotopy lifting property in symmetric products Blanco-Gómez, Eduardo Algebraic Topology In this paper we prove the homotopy lifting property for symmetric products $SP_{m}(X)$ and $F_{m}(X)$, with $X$ a Hausdorff topological space. Furthermore, we introduce a new tool, the theory of topological puzzles, to get a useful decomposition of $X^{m}$. |
| title | Homotopy lifting property in symmetric products |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2002.12679 |