On the Grothendieck and Nikodym properties for algebras of Baire, Borel and universally measurable sets

DOI10.1216/RMJ-1983-13-2-333zbMath0517.28008OpenAlexW1983033477MaRDI QIDQ1053132

William H. Graves, Robert F. Wheeler

Publication date: 1983

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1983-13-2-333

zbMATH Keywords

Boolean algebraStone spaceCantor spaceGrothendieck propertyNikodym propertyalgebra of Jordan measurable subsets of (0,1)Baire sets with scattered boundaryquasi-F- spaceuniversal measure spacevector measures with range in a Frechet space

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Boolean algebras (Boolean rings) (06E99) Spaces of measures (46E27) Extremally disconnected spaces, (F)-spaces, etc. (54G05) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

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