Some remarks on similar topologies / Pewne uwagi o podobnych topologiach
Journal Title: Bulletin de la Société des sciences et des lettres de Łódź, Série: Recherches sur les déformations - Year 2016, Vol 0, Issue 3
Abstract
Let T1, T2 be topologies defined on a set X. Assume that T1 and T2 are similar, that means the families of sets with nonempty interior in topological spaces (X; T1) and (X; T2) are equal. The aim of our paper is to check if the family of similar topologies forms a lattice and to examine the classes of continuous functions with similar topologies on the domain and range of the functions.
Authors and Affiliations
Małgorzata Filipczak
Keywords
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