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Weakly infinite-dimensional compactifications and countable-dimensional compactifications

Takashi Kimura; Chieko Komoda — 2008

Commentationes Mathematicae Universitatis Carolinae

In this paper we give a characterization of a separable metrizable space having a metrizable S-weakly infinite-dimensional compactification in terms of a special metric. Moreover, we give two characterizations of a separable metrizable space having a metrizable countable-dimensional compactification.

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