Quasi-measures and dimension theory

DOI10.1016/0166-8641(95)00009-6zbMath0842.28005OpenAlexW2093263279MaRDI QIDQ1902991

Robert F. Wheeler

Publication date: 31 July 1996

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(95)00009-6

zbMATH Keywords

dimension theory\(A\)-spacenormal spacequasi-measuresfinitely additive extension\(MA\)-space

Mathematics Subject Classification ID

Dimension theory in general topology (54F45) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (13)

The median in multidimensional spaces ⋮ Quasi-measures on completely regular spaces ⋮ Semisolid sets and topological measures ⋮ A note on the Choquet integral as a set function on a locally compact space ⋮ Deficient topological measures on locally compact spaces ⋮ Quasi-measures and image transformations on completely regular spaces. ⋮ A criterion for proper quasi-measure ⋮ \(q\)-functions and extreme topological measures ⋮ Smoothness properties of quasi-measures ⋮ A COMPARISON OF SYMPLECTIC HOMOGENIZATION AND CALABI QUASI-STATES ⋮ Quasi-linear functionals on locally compact spaces ⋮ Approximation of quasi-states on manifolds ⋮ Quasi-measures with image transformations as generalized variables

Cites Work

• A survey of Baire measures and strict topologies
• On regular extensions of measures
• Pure quasi-states and extremal quasi-measures
• Quasi-measures on completely regular spaces
• Quasi-states and quasi-measures
• Topology and the construction of extreme quasi-measures
• Stone-Čech compactification of a product
• Physical states on a \(C^*\)-algebra
• Construction of non-subadditive measures and discretization of Borel measures
• Physical States on a C ∗ -Algebra
• Quasi-States on C ∗ -Algebras
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