Identifying the homotopy fiber of a map of semi-Segal spaces
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917839246458880 |
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| author | Sun, Yuxun |
| author_facet | Sun, Yuxun |
| contents | We prove a version of Quillen's theorems for a map of semi-Segal spaces. We construct a bi-semi-simplicial resolution similar to the one associated to a functor of non-unital topological categories. As a consequence we can represent the homotopy fiber of a map of semi-Segal spaces as the geometric realization of a certain semi-simplicial space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_19268 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Identifying the homotopy fiber of a map of semi-Segal spaces Sun, Yuxun Algebraic Topology 55U We prove a version of Quillen's theorems for a map of semi-Segal spaces. We construct a bi-semi-simplicial resolution similar to the one associated to a functor of non-unital topological categories. As a consequence we can represent the homotopy fiber of a map of semi-Segal spaces as the geometric realization of a certain semi-simplicial space. |
| title | Identifying the homotopy fiber of a map of semi-Segal spaces |
| topic | Algebraic Topology 55U |
| url | https://arxiv.org/abs/2410.19268 |