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- W4241208635 abstract "Let ${P_k}left ( X right )$ denote the set of all probability measures on a metric space $X$ whose supports consist of no more than $k$ points, equipped with the Fedorchuk topology. We prove that if $X in {text {ANR}}$ then ${P_k}left ( X right ) in {text {ANR}}$ for every $k in {mathbf {N}}$. This implies that for each $k in {mathbf {N}}$ the functor ${P_k}$ preserves the topology of separable Hilbert space." @default.
- W4241208635 created "2022-05-12" @default.
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- W4241208635 date "1989-06-01" @default.
- W4241208635 modified "2023-09-26" @default.
- W4241208635 title "Probability Measure Functors Preserving the ANR-Property of Metric Spaces" @default.
- W4241208635 doi "https://doi.org/10.2307/2048832" @default.
- W4241208635 hasPublicationYear "1989" @default.
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