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- W2049767056 abstract "It is shown, by a simple and direct proof, that if a bounded valuation on a monotone convergence space is the supremum of a directed family of simple valuations, then it has a unique extension to a Borel measure. In particular, this holds for any directed complete partial order with the Scott topology. It follows that every bounded and continuous valuation on a continuous directed complete partial order can be extended uniquely to a Borel measure. The last result also holds for σ-finite valuations, but fails for directed complete partial orders in general." @default.
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- W2049767056 date "2000-04-01" @default.
- W2049767056 modified "2023-10-13" @default.
- W2049767056 title "An Extension Result for Continuous Valuations" @default.
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