The Probabilistic Powerdomain for Stably Compact Spaces via Compact Ordered Spaces

نویسنده

Klaus Keimel

چکیده

Stably compact spaces Xs can be described as being derived from compact ordered spaces X by weakening their topology to the open upper sets. In this paper the probabilistic powerdomain of a stably compact space Xs is investigated using the compact ordered space X and classical tools from measure theory and functional analysis. This allows to derive in a unified and elegant way known and new results which are summarized in Theorem 5.4.

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