Compactness and extreme points of the set of quasi-measure extensions of a quasi-measure

DOI10.4064/dm493-0-1zbMath1283.28002OpenAlexW2316230720MaRDI QIDQ5397508

Zbigniew Lipecki

Publication date: 21 February 2014

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/dm493-0-1

zbMATH Keywords

extreme pointBoolean algebrazero-dimensionalsuperatomicconvex setextensioncompactsimplexquasi-measureRadon measurecardinalitydiscreteconnectedlocally connectedalgebra of setsclosedscattereddense\(\omega \)-powerweakatomicnonatomicstrongadditive set functionweak*

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Compactness (54D30) Spaces of measures, convergence of measures (28A33) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Connected and locally connected spaces (general aspects) (54D05) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Related Items (4)

Order-theoretic properties and separability of some sets of quasi-measures ⋮ Hahn-Banach-type theorems and applications to optimization for partially ordered vector space-valued invariant operators ⋮ Order-theoretic properties of some sets of quasi-measures ⋮ Cardinality of order intervals in linear lattices and of their sets of extreme points

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