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.
MSC:54A10, 54A05, 11B05, 28A05, 28A10, 26A15
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