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RESOLVABILITY OF MEASURABLE SPACES

Part of: Generalities Classical measure theory

Published online by Cambridge University Press:  11 January 2016

GRAŻYNA HORBACZEWSKA  and
SEBASTIAN LINDNER
GRAŻYNA HORBACZEWSKA*
Affiliation:
Department of Mathematics and Computer Science, University of Lodz, Banacha 22, 90 238 Lodz, Poland email grhorb@math.uni.lodz.pl
SEBASTIAN LINDNER
Affiliation:
Department of Mathematics and Computer Science, University of Lodz, Banacha 22, 90 238 Lodz, Poland email lindner@math.uni.lodz.pl
*
✉grhorb@math.uni.lodz.pl
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Abstract

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We consider a special kind of structure resolvability and irresolvability for measurable spaces and discuss analogues of the criteria for topological resolvability and irresolvability.

Keywords

resolvabilityirresolvabilityalgebra of setsideal of setsMarczewski–Burstin representation

MSC classification

Primary: 28A05: Classes of sets (Borel fields, $sigma$-rings, etc.), measurable sets, Suslin sets, analytic sets
Secondary: 54A10: Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) 06E25: Boolean algebras with additional operations (diagonalizable algebras, etc.)
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 94 , Issue 1 , August 2016 , pp. 70 - 79
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

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