International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 1, Pages 19-23
doi:10.1155/S0161171298000027
Subcontra-continuous functions
Department of Mathematics, Indiana University Southeast, New Albany 47150, Indiana, USA
Received 17 December 1996
Copyright © 1998 C. W. Baker. 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
A weak form of contra-continuity, called subcontra-continuity, is introduced. It is
shown that subcontra-continuity is strictly weaker than contra-continuity and stronger than both
subweak continuity and sub-LC-continuity. Subcontra-continuity is used to improve several results in
the literature concerning compact spaces.