Weakly infinite-dimensional compactifications and countable-dimensional compactifications
Takashi Kimura, Chieko Komoda (2008)
Commentationes Mathematicae Universitatis Carolinae
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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.