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- W4287977348 abstract "For a compact space $K$ we consider the space $P(K)$, of probability regular Borel measures on $K$, equipped with the $weak^ast$ topology inherited from $C(K)^ast$. We discuss possible characterizations of those compact spaces $K$ for which $P(K)$ is $aleph_0$-monolithic. The main result states that under $diamondsuit$ there exists a nonseparable Corson compact space $K$ such that $P(K)$ is $aleph_0$-monolithic but $K$ supports a measure of uncountable type." @default.
- W4287977348 created "2022-07-26" @default.
- W4287977348 creator A5028301308 @default.
- W4287977348 date "2019-12-31" @default.
- W4287977348 modified "2023-10-16" @default.
- W4287977348 title "Monolithic spaces of measures" @default.
- W4287977348 doi "https://doi.org/10.48550/arxiv.1912.13297" @default.
- W4287977348 hasPublicationYear "2019" @default.
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