Note on Mapping Class Groups of Finite Spaces

B. Branman

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arXiv · 2011.02409

Note on Mapping Class Groups of Finite Spaces

B. Branman

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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 $T_0$ quotient. As a corollary, we show that every finite group is the mapping class group of some finite, $T_0$ space.

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BibTeX RIS

B. Branman. 2020-11-04. Note on Mapping Class Groups of Finite Spaces. https://arxiv.org/abs/2011.02409

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