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• W2080506275 abstract "It is shown that: (1) any action of a Moscow group G on a first countable, Dieudonné complete (in particular, on a metrizable) space X can uniquely be extended to an action of the Dieudonné completion γG on X, (2) any action of a locally pseudocompact topological group G on a b f -space (in particular, on a first countable space) X can uniquely be extended to an action of the Weil completion $overline{G}$ on the Dieudonné completion γX of X. As a consequence, we obtain that, for each locally pseudocompact topological group G, every G-space with the b f -property admits an equivariant embedding into a compact Hausdorff G-space. Furthermore, for each pseudocompact group G, every metrizable G-space has a G-invariant metric compatible with its topology. We also give a direct construction of such an invariant metric." @default.
• W2080506275 created "2016-06-24" @default.
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• W2080506275 date "2002-08-01" @default.
• W2080506275 modified "2023-10-05" @default.
• W2080506275 title "Extension of locally pseudocompact group actions" @default.
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• W2080506275 doi "https://doi.org/10.1007/s102310100039" @default.
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