Monolithic spaces of measures

2019/12/31 by Plebanek, Grzegorz
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1912.13297

Abstract

For a compact space K we consider the space P(K), of probability regular Borel measures on K, equipped with the weak^∗ topology inherited from C(K)^∗. We discuss possible characterizations of those compact spaces K for which P(K) is ℵ₀-monolithic. The main result states that under \diamondsuit there exists a nonseparable Corson compact space K such that P(K) is ℵ₀-monolithic but K supports a measure of uncountable type.

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