International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 18, Pages 67083, 17 p.
doi:10.1155/IJMMS/2006/67083

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 point Iℵ0\{0}, as well as the Cantor discontinuum without its zero point Dℵ0\{0} are of the same class of mutual compactificability as ℝ.