The geometric realization of a simplicial Hausdorff space is Hausdorff
Category Theory
2013-11-01 v2 Combinatorics
General Topology
Abstract
It is shown that the thin geometric realization of a simplicial Hausdorff space is Hausdorff. This proves a famous claim by Graeme Segal that the thin geometric realisation of a simplicial k-space is a k-space.
Keywords
Cite
@article{arxiv.1005.2666,
title = {The geometric realization of a simplicial Hausdorff space is Hausdorff},
author = {Clément de Seguins Pazzis},
journal= {arXiv preprint arXiv:1005.2666},
year = {2013}
}
Comments
19 pages