On the closure of the diagonal of a $T_1$-space
General Topology
2007-05-29 v1 Logic
Abstract
Let X be a topological space. The closure of \Delta = {(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.
Keywords
Cite
@article{arxiv.0705.3877,
title = {On the closure of the diagonal of a $T_1$-space},
author = {Maria-Luisa Colasante and Dominic van der Zypen},
journal= {arXiv preprint arXiv:0705.3877},
year = {2007}
}
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8 pages