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Mathematica Slovaca

Editor-in-Chief: Pulmannová, Sylvia

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Volume 64, Issue 6

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Bases of measurability in Boolean algebras

Miroslav Repický
  • Mathematical Institute, Slovak Academy of Sciences, Grešákova 6, SK-040 01, Košice, Slovak Republic
  • Institute of Computer Science, Faculty of Science, P. J. Šafárik University, Jesenná 5, SK-041 54, Košice, Slovak Republic
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Published Online: 2015-01-10 | DOI: https://doi.org/10.2478/s12175-014-0277-8

Abstract

In the paper we find characterizations of some notions studied by Kułaga [5] and we generalize his results. In particular, we characterize regularity and completeness of factor subalgebras via stability of the decidability operator and we discuss some possibilities in defining the notions of first category and Baire property in Boolean algebras.

MSC: Primary 03E40; Secondary 03E15, 06E05, 28A05, 54H05

Keywords: Boolean algebra; subalgebra; ideal; factor algebra; measurable sets; first category; Baire property; category base; base of measurability; Suslin operation

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About the article

Published Online: 2015-01-10

Published in Print: 2014-12-01


Citation Information: Mathematica Slovaca, Volume 64, Issue 6, Pages 1299–1334, ISSN (Online) 1337-2211, ISSN (Print) 0139-9918, DOI: https://doi.org/10.2478/s12175-014-0277-8.

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© 2014 Mathematical Institute, Slovak Academy of Sciences. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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[1]
Miroslav Repický
Archive for Mathematical Logic, 2016, Volume 55, Number 7-8, Page 1025

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