Kuratowski Monoids of n-Topological Spaces-Reference-Cited by-同舟云学术

Kuratowski Monoids of n-Topological Spaces

Published:2018-03-28 Issue:1 Volume:6 Page:1-25
ISSN:2299-3231
Container-title:Topological Algebra and its Applications
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Author:

Banakh Taras¹²,Chervak Ostap³,Martynyuk Tetyana³,Pylypovych Maksym³,Ravsky Alex⁴,Simkiv Markiyan³

Affiliation:

1. 1Ivan Franko National University of Lviv, Universytatska 1, 79000, Lviv, Ukraine

2. 2Institute of Mathematics, Jan Kochanowski University, Swietokrzyka 15, Kielce, Poland

3. 3Ivan Franko National University of Lviv, Universytatska 1, 79000, Lviv, Ukraine

4. 4Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of National Academy of Sciences, Naukova 3b, Lviv, Ukraine

Abstract

Abstract Generalizing the famous 14-set closure-complement Theorem of Kuratowski from 1922, we prove that for a set X endowed with n pairwise comparable topologies Ʈ1 ⊂ · · · ⊂ Ʈn, by repeated application of the operations of complement and closure in the topologies Ʈ1, . . . , Ʈn to a subset A ⊂ X we can obtain at most

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/taa-2018-0001/pdf

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