English

Fat realization and Segal's classifying space

K-Theory and Homology 2017-10-12 v1 Algebraic Topology

Abstract

In this paper, we give a new proof of a well-known theorem due to tom Dieck that the fat realization and Segal's classifying space of an internal category in the category of topological spaces are homotopy equivalent.

Keywords

Cite

@article{arxiv.1710.03796,
  title  = {Fat realization and Segal's classifying space},
  author = {Yi-Sheng Wang},
  journal= {arXiv preprint arXiv:1710.03796},
  year   = {2017}
}

Comments

18 pages

R2 v1 2026-06-22T22:09:23.027Z