Higher-categorical combinatorics of configuration spaces of Euclidean space
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| _version_ | 1866910582712565760 |
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| author | Cepek, Anna |
| author_facet | Cepek, Anna |
| contents | We examine configurations of finite subsets of manifolds within the homotopy-theoretic context of $\infty$-categories by way of stratified spaces. Through these higher categorical means, we identify the homotopy types of such configuration spaces in the case of n-dimensional Euclidean space in terms of the category $\mathbfΘ_n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1910_11980 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Higher-categorical combinatorics of configuration spaces of Euclidean space Cepek, Anna Algebraic Topology 55R80, 57N80, 18B30, 55P60 We examine configurations of finite subsets of manifolds within the homotopy-theoretic context of $\infty$-categories by way of stratified spaces. Through these higher categorical means, we identify the homotopy types of such configuration spaces in the case of n-dimensional Euclidean space in terms of the category $\mathbfΘ_n$. |
| title | Higher-categorical combinatorics of configuration spaces of Euclidean space |
| topic | Algebraic Topology 55R80, 57N80, 18B30, 55P60 |
| url | https://arxiv.org/abs/1910.11980 |