International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 7, Pages 53653, 12 p.
doi:10.1155/IJMMS/2006/53653
Strongly irresolvable spaces
David Rose
, Kari Sizemore
and Ben Thurston
Department of Mathematics, Florida Southern College, Lakeland 33801-5698, FL, USA
Abstract
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.