International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 8, Pages 559-563
doi:10.1155/S0161171201003945
A note on θ-generalized closed sets
Department of Mathematics, Indiana University Southeast, New Albany 47150, IN, USA
Received 22 September 1999
Copyright © 2001 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
The purpose of this note is to strengthen several
results in the literature concerning the preservation of
θ-generalized closed sets. Also conditions are established
under which images and inverse images of arbitrary sets are
θ-generalized closed. In this process several
new weak forms of continuous functions and closed functions
are developed.