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Choquet–Kendall–Matheron theorems for non-Hausdorff spaces

  • JEAN GOUBAULT-LARRECQ (a1) and KLAUS KEIMEL (a2)
Abstract

We establish Choquet–Kendall–Matheron theorems on non-Hausdorff topological spaces. This typical result of random set theory is profitably recast in purely topological terms using intuitions and tools from domain theory. We obtain three variants of the theorem, each one characterising distributions, in the form of continuous valuations, over relevant powerdomains of demonic, angelic and erratic non-determinism, respectively.

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G. Birkhoff (1940) Lattice Theory, American Mathematical Society.

D. Denneberg (1994) Non-Additive Measure and Integral, Kluwer.

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Mathematical Structures in Computer Science
  • ISSN: 0960-1295
  • EISSN: 1469-8072
  • URL: /core/journals/mathematical-structures-in-computer-science
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