Extension of valuations on locally compact sober spaces

DOI10.1016/S0166-8641(01)00249-8zbMath1062.28015MaRDI QIDQ1862060

Mauricio Alvarez-Manilla

Publication date: 10 March 2003

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

zbMATH Keywords

sober spacescoherent spacescontinuous valuationsdomain representationsextension of continuous valuationsmaximal point spacesprobabilistic powerdomains

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Continuous lattices and posets, applications (06B35) Ordered topological structures (06F30) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (5)

Representing probability measures using probabilistic processes ⋮ Probability, valuations, hyperspace: Three monads on top and the support as a morphism ⋮ Gelfand-type duality for commutative von Neumann algebras ⋮ Measure, randomness and sublocales ⋮ Measure extension theorems for \(T_{0}\)-spaces

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