International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 67083, 17 pages
doi:10.1155/IJMMS/2006/67083
The compactificability classes of certain spaces
Department of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technická 8, Brno 616 69, Czech Republic
Received 15 October 2004; Revised 6 September 2005; Accepted 18 September 2005
Copyright © 2006 Martin Maria Kovár. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.