Note on Mapping Class Groups of Finite Spaces
General Topology
2020-11-05 v1
Abstract
We investigate the mapping class groups of a class of non-Hausdorff topological spaces which includes finite spaces. We show that the mapping class group of a finite space is isomorphic to the homeomorphism group of its quotient. As a corollary, we show that every finite group is the mapping class group of some finite, space.
Cite
@article{arxiv.2011.02409,
title = {Note on Mapping Class Groups of Finite Spaces},
author = {B. Branman},
journal= {arXiv preprint arXiv:2011.02409},
year = {2020}
}