Given a separable metrizable h-homogeneous space X, it is proved that X is a \(\textsf{CDH}\) space with a dense completely metrizable subspace if and only if every countable subset of… Click to show full abstract
Given a separable metrizable h-homogeneous space X, it is proved that X is a \(\textsf{CDH}\) space with a dense completely metrizable subspace if and only if every countable subset of X is included in a Polish subspace of X. We also show that every such space is \(\omega-\textsf{CDH}\).
               
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