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• W3010443500 abstract "All spaces are assumed to be separable and metrizable. We show that, assuming the Axiom of Determinacy, every zero-dimensional homogeneous space is strongly homogeneous (i.e. all its non-empty clopen subspaces are homeomorphic), with the trivial exception of locally compact spaces. In fact, we obtain a more general result on the uniqueness of zero-dimensional homogeneous spaces which generate a given Wadge class. This extends work of van Engelen (who obtained the corresponding results for Borel spaces), complements a result of van Douwen, and gives partial answers to questions of Terada and Medvedev." @default.
• W3010443500 created "2020-03-13" @default.
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• W3010443500 date "2020-03-04" @default.
• W3010443500 modified "2023-09-24" @default.
• W3010443500 title "Every zero-dimensional homogeneous space is strongly homogeneous under determinacy" @default.
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• W3010443500 doi "https://doi.org/10.1142/s0219061320500154" @default.
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