Kimura, Takashi; Komoda, Chieko Weakly infinite-dimensional compactifications and countable-dimensional compactifications. (English) Zbl 1212.54085 Commentat. Math. Univ. Carol. 49, No. 1, 147-154 (2008). Summary: 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. MSC: 54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.) 54F45 Dimension theory in general topology Keywords:\(S\)-weakly infinite-dimensional; countable-dimensional; compactification PDF BibTeX XML Cite \textit{T. Kimura} and \textit{C. Komoda}, Commentat. Math. Univ. Carol. 49, No. 1, 147--154 (2008; Zbl 1212.54085) Full Text: EuDML EMIS OpenURL