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International Journal of Mathematics and Mathematical Sciences
Volume 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 Hindawi Publishing Corporation. 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.