International Journal of Mathematics and Mathematical Sciences
Volume 31 (2002), Issue 6, Pages 381-386
On a weak form of weak quasi-continuity
Department of Mathematics, Indiana University Southeast, New Albany 47150, IN, USA
Received 12 September 2001
Copyright © 2002 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.
A weak form of weak quasi-continuity, which we call subweak
quasi-continuity, is introduced. It is shown that subweak
quasi-continuity is strictly weaker than weak quasi-continuity. Subweak
quasi-continuity is used to strengthen several results in the
literature concerning weak quasi-continuity. Specifically, results
concerning the graph, graph function, and restriction of a weakly
quasi-continuous function are extended slightly. Also, a result
concerning weakly quasi-continuous retractions is strengthened.