Representations of linear functionals on spaces of continuous functions, repletions, and general measure extensions

DOI10.1016/0022-247X(79)90025-8zbMath0408.28010MaRDI QIDQ1258398

Alan Sultan, George Bachman

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

extension of measuresWallman spacestau-smooth measureslattice regular measuresAlexandroff representation theoremo-smoothreplete

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Banach spaces of continuous, differentiable or analytic functions (46E15) Lattices of continuous, differentiable or analytic functions (46E05) Topology of special sets defined by functions (54C50) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (2)

On strongly replete lattices, support of a measure, and the Wallman remainder ⋮ Lattice repleteness and some of its applications to topology

Cites Work

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• The Strict Topology in a Completely Regular Setting: Relations to Topological Measure Theory
• TOPOLOGICAL VECTOR SPACES OF CONTINUOUS FUNCTIONS
• On locally convex vector spaces of continuous functions

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