Bases of measurability in Boolean algebras
In the paper we find characterizations of some notions studied by Kułaga  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.
KeywordsBoolean algebra subalgebra ideal factor algebra measurable sets first category Baire property category base base of measurability Suslin operation
2010 Mathematics Subject ClassificationPrimary 03E40 Secondary 03E15, 06E05, 28A05, 54H05
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- FREMLIN, D. H.: Measure-additive coverings and measurable selectors, Dissertationes Math. (Rozprawy Mat.) CCLX (1987).Google Scholar
- SZPILRAJN (MARCZEWSKI), E.: Sur une classe de fonctions de M. Sierpiński et la classe correspondante d’ensembles, Fund. Math. 24 (1935), 17–34.Google Scholar