International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 67083, 17 pages

The compactificability classes of certain spaces

Martin Maria Kovár

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.


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 I0\{0}, as well as the Cantor discontinuum without its zero point D0\{0} are of the same class of mutual compactificability as .