On similarity between topologies

• Autorzy: Artur Bartoszewicz , Małgorzata Filipczak , Andrzej Kowalski , Małgorzata Terepeta
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Abstract density topology; Mutually coinitial families; MB-representation; Algebra of sets with nowhere dense boundary; Quasicontinuous functions; Cliquish functions

Kategorie tematyczne

• 54A10: Several topologies on one set (change of topology, comparison of topologies, lattices of topologies)
• 28A10: Real- or complex-valued set functions
• 26A15: Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.)
• 54A05: Topological spaces and generalizations (closure spaces, etc.)
• 28A05: Classes of sets (Borel fields, σ -rings, etc.), measurable sets, Suslin sets, analytic sets
• 11B05: Density, gaps, topology

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 4
• Strony: 603-610

Daty

wydano

2014-04-01

online

2014-01-17

Twórcy

autor

Artur Bartoszewicz

• Łódz University of Technology

autor

Małgorzata Filipczak

• Łódz University

autor

Andrzej Kowalski

• Łódz University

autor

Małgorzata Terepeta

• Łódz University of Technology

Bibliografia

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• [9] Steen L.A., Seebach J.A. Jr., Counterexamples in Topology, Dover, Mineola, 1995
• [10] Szpilrajn E., Sur une classe de fonctions de M. Sierpinski et la classe correspondante d’ensembles, Fund. Math., 1935, 24, 17–34
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Identyfikatory

DOI

10.2478/s11533-013-0361-2