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

Dominic van der Zypen; Maria-Luisa Colasante

arxiv: 0705.3877 · v1 · submitted 2007-05-26 · 🧮 math.GN · math.LO

On the closure of the diagonal of a T₁-space

Maria-Luisa Colasante , Dominic van der Zypen This is my paper

classification 🧮 math.GN math.LO

keywords closurediagonalspacearisecharacterisedeltaequivalenceinfinite

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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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On the closure of the diagonal of a T₁-space

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