Mathematica Slovaca

, Volume 64, Issue 6, pp 1299–1334 | Cite as

Bases of measurability in Boolean algebras

Article

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.

Keywords

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

2010 Mathematics Subject Classification

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

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Copyright information

© Versita Warsaw and Springer-Verlag Wien 2014

Authors and Affiliations

  1. 1.Mathematical InstituteSlovak Academy of SciencesKošiceSlovak Republic
  2. 2.Institute of Computer Science, Faculty of ScienceP. J. Šafárik UniversityKošiceSlovak Republic

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