A Domain-Theoretic Approach to Integration in Hausdorff Spaces

DOI10.1112/S1461157000000292zbMath0958.28007MaRDI QIDQ4504971

John D. Howroyd

Publication date: 25 September 2000

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.lms.ac.uk/jcm/3/lms1999-010/

zbMATH Keywords

partially ordered setHausdorff spacesrounded ideal completiondomain-theoretic integral

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Integration with respect to measures and other set functions (28A25) Continuous lattices and posets, applications (06B35) Ordered topological structures (06F30) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Related Items (4)

A domain-theoretic approach to Brownian motion and general continuous stochastic processes ⋮ Representation of maxitive measures: An overview ⋮ Riemann and Edalat integration on domains. ⋮ Extension of valuations on locally compact sober spaces

Cites Work

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• Domain theory and integration
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• Dynamical systems, measures, and fractals via domain theory
• Power domains and iterated function systems
• Spaces of maximal points
• When Scott is weak on the top
• Domains for Computation in Mathematics, Physics and Exact Real Arithmetic

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