Add to ORKGThe theme of this paper is the extension of continuous valuations on the lattice of open sets of a T0-space to Borel measures. A general extension principle is derived that provides a unified approach to a variety of extension theorems including valuations that are directed suprema of simple valuations, continuous valuations on locally compact sober spaces, and regular valuations on coherent sober spaces. © 2004 Elsevier B.V. All rights reserved
International audienceWe introduce continuous $R$-valuations on directed-complete posets (dcpos, for...
summary:It is shown that measure extension axioms imply various forms of the Fubini theorem for nonm...
International audienceWe revisit extension results from continuous valuations to Radon measures for ...
AbstractThe theme of this paper is the extension of continuous valuations on the lattice of open set...
AbstractWe show that every locally finite continuous valuation defined on the lattice of open sets o...
AbstractWe develop a new approach to the measure extension problem, based on nonstandard analysis. T...
Valuations are measure-like functions mapping the open sets of a topological space into positive rea...
AbstractWe show, by a simple and direct proof, that if a bounded valuation on a directed complete pa...
Let \(X\) be a complete metric space, and \(S\) the union of a finite number of strict contractions ...
summary:This is an expository paper on Jan Marik's result concerning an extension of a Baire measure...
International audienceWe show analogues of the Daniell–Kolmogorov and Prohorov theorems on the exist...
International audienceThe regular open subsets of a topological space form a Boolean algebra, where ...
AbstractWe consider axioms asserting that Lebesgue measure on the real line may be extended to measu...
AbstractGiven a topological space X and a complete lattice L, we study the space of L-predicatesFL(X...
International audienceWe introduce continuous $R$-valuations on directed-complete posets (dcpos, for...
summary:It is shown that measure extension axioms imply various forms of the Fubini theorem for nonm...
International audienceWe revisit extension results from continuous valuations to Radon measures for ...
AbstractThe theme of this paper is the extension of continuous valuations on the lattice of open set...
AbstractWe show that every locally finite continuous valuation defined on the lattice of open sets o...
AbstractWe develop a new approach to the measure extension problem, based on nonstandard analysis. T...
Valuations are measure-like functions mapping the open sets of a topological space into positive rea...
AbstractWe show, by a simple and direct proof, that if a bounded valuation on a directed complete pa...
Let \(X\) be a complete metric space, and \(S\) the union of a finite number of strict contractions ...
summary:This is an expository paper on Jan Marik's result concerning an extension of a Baire measure...
International audienceWe show analogues of the Daniell–Kolmogorov and Prohorov theorems on the exist...
International audienceThe regular open subsets of a topological space form a Boolean algebra, where ...
AbstractWe consider axioms asserting that Lebesgue measure on the real line may be extended to measu...
AbstractGiven a topological space X and a complete lattice L, we study the space of L-predicatesFL(X...
International audienceWe introduce continuous $R$-valuations on directed-complete posets (dcpos, for...
summary:It is shown that measure extension axioms imply various forms of the Fubini theorem for nonm...
International audienceWe revisit extension results from continuous valuations to Radon measures for ...