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

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

2007-05-26

arxiv.org/abs/0705.3877v1

Mathematics

General Topology

8 pages

Scientific paper

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.

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