On the closure of the diagonal of a $T_1$-space

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Let X be a topological space. The closure of Δ= {(x, x) : x \in X} in X \times 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 T_1-topology.
8 pages

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General Topology, Logic, 54A99; 04A05

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http://salesiana.dossiersoluciones.com/handle/123456789/129530

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0705.3877
 http://arxiv.org/abs/0705.3877

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arXiv