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Bases of measurability in Boolean algebras

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Mathematica Slovaca

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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Authors

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Correspondence to Miroslav Repický.

Additional information

Communicated by David Buhagiar

Research was supported by the grant of Slovak Grant Agency VEGA 1/0032/09.

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Repický, M. Bases of measurability in Boolean algebras. Math. Slovaca 64, 1299–1334 (2014). https://doi.org/10.2478/s12175-014-0277-8

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  • DOI: https://doi.org/10.2478/s12175-014-0277-8

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