International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 53653, 12 pages
Strongly irresolvable spaces
Department of Mathematics, Florida Southern College, Lakeland 33801-5698, FL, USA
Received 9 March 2006; Revised 31 May 2006; Accepted 5 June 2006
Copyright © 2006 David Rose et al. 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.
Several new characterizations of strongly irresolvable topological
spaces are found and precise relationships are noted between
strong irresolvability, hereditary irresolvability, and
submaximality. It is noted that strong irresolvablity is a faint
topological property, while neither hereditary irresolvablity nor
submaximality are semitopological.