Bases of measurability in Boolean algebras

Miroslav Repický · Mathematica Slovaca · 2014

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.

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