A Structure Theorem in Finite Topology
Canadian mathematical bulletin, Tome 26 (1983) no. 1, pp. 121-122
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Simple structure theorems or representation theorems make their appearance at a very elementary level in subjects such as algebra, but one infrequently encounters such theorems in elementary topology. In this note we offer one such theorem, for finite topological spaces, which involves only the most elementary concepts: discrete space, indiscrete space, product space and homeomorphism. Our theorem describes the structure of those finite spaces which are homogeneous.
Ginsburg, John. A Structure Theorem in Finite Topology. Canadian mathematical bulletin, Tome 26 (1983) no. 1, pp. 121-122. doi: 10.4153/CMB-1983-019-4
@article{10_4153_CMB_1983_019_4,
author = {Ginsburg, John},
title = {A {Structure} {Theorem} in {Finite} {Topology}},
journal = {Canadian mathematical bulletin},
pages = {121--122},
year = {1983},
volume = {26},
number = {1},
doi = {10.4153/CMB-1983-019-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-019-4/}
}
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