Abstract: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.
Keywords: S-weakly infinite-dimensional, countable-dimensional, compactification
AMS Subject Classification: Primary 54D35, 54F45