The compactificability classes of certain spaces

Abstract

We apply the theory of the mutual compactificability to some spaces, mostly derived from the real line. For example, any noncompact locally connected metrizable generalized continuum, the Tichonov cube without its zero pointIℵ0\{0}, as well as the Cantor discontinuum without its zero pointDℵ0\{0}are of the same class of mutual compactificability asℝ.