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On similarity between topologies

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Central European Journal of Mathematics

Abstract

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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Author information

Authors and Affiliations

  1. Institute of Mathematics, Łódz University of Technology, ul. Wólczanska 215, 93-005, Łódz, Poland

    Artur Bartoszewicz

  2. Department of Mathematics and Computer Science, Łódz University, ul. Stefana Banacha 22, 90-238, Łódz, Poland

    Małgorzata Filipczak & Andrzej Kowalski

  3. Center of Mathematics and Physics, Łódz University of Technology, al. Politechniki 11, 90-924, Łódz, Poland

    Małgorzata Terepeta

Authors
  1. Artur Bartoszewicz
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  2. Małgorzata Filipczak
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  3. Andrzej Kowalski
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  4. Małgorzata Terepeta
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Correspondence to Artur Bartoszewicz.

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Bartoszewicz, A., Filipczak, M., Kowalski, A. et al. On similarity between topologies. centr.eur.j.math. 12, 603–610 (2014). https://doi.org/10.2478/s11533-013-0361-2

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  • DOI: https://doi.org/10.2478/s11533-013-0361-2

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