International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 1, Pages 9-13
doi:10.1155/S0161171289000025
A note on weakly θ-continuous functions
1Department of Mathematics, Faculty of Sciences, University of Belgrade, Serbia and Montenegro
2Department of Mathematics, University of California, Davis 95616, California, USA
Received 8 June 1987; Revised 9 February 1988
Copyright © 1989 M. Mršević and I. L. Reilly. 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
Recently a new class of functions between topological spaces, called weakly
θ-continuous functions, has been introduced and studied. In this paper we show how an
appropriate change of topology on the domain of a weakly θ-continuous function reduces
it to a weakly continuous function. This paper examines some of the consequences of
this result.