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On the closure of the diagonal of a T1-space |
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| Authors: | Maria Luisa Colasante Dominic van der Zypen van |
| Affiliation: | aDepartamento de Matemáticas, Facultad de Ciencias, Universidad de Los Andes, Mérida 5101, Venezuela;bAllianz Suisse Insurance Company, Laupenstrasse 27, CH-3001 Bern, Switzerland |
| Abstract: | Let X be a topological space. The closure of Δ={(x,x):x X} in X×X is a symmetric relation on X. We characterise those equivalence relations on an infinite set that arise as the closure of the diagonal with respect to a T1-topology. |
| Keywords: | Topological space Separation T1-space Equivalence relation Diagonal |
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