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arXiv · 2410.19268

Identifying the homotopy fiber of a map of semi-Segal spaces

Yuxun Sun
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Abstract

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.

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Yuxun Sun. 2024-10-25. Identifying the homotopy fiber of a map of semi-Segal spaces. https://arxiv.org/abs/2410.19268

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