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.
@article{bwmeta1.element.doi-10_2478_s11533-013-0361-2,
author = {Artur Bartoszewicz and Ma\l gorzata Filipczak and Andrzej Kowalski and Ma\l gorzata Terepeta},
title = {On similarity between topologies},
journal = {Open Mathematics},
volume = {12},
year = {2014},
pages = {603-610},
zbl = {1298.54005},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0361-2}
}
Artur Bartoszewicz; Małgorzata Filipczak; Andrzej Kowalski; Małgorzata Terepeta. On similarity between topologies. Open Mathematics, Tome 12 (2014) pp. 603-610. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0361-2/
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