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On similarity between topologies

Artur Bartoszewicz; Małgorzata Filipczak; Andrzej Kowalski; Małgorzata Terepeta — 2014

Open Mathematics

Let T 1 and T 2 be topologies defined on the same set X and let us say that (X, T 1) and (X, T 2) are similar if the families of sets which have nonempty interior with respect to T 1 and T 2 coincide. The aim of the paper is to study how similar topologies are related with each other.

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