International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 78135, 12 pages
-compactness modulo an ideal
1Department of Mathematics, Faculty of Science, Ch. Charan Singh University, Meerut 250004, India
22949-1, Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken 869-5142, Japan
Received 24 January 2006; Revised 30 March 2006; Accepted 4 April 2006
Copyright © 2006 M. K. Gupta and T. Noiri. 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.
We investigate the concepts of quasi--closed modulo an ideal which generalizes quasi--closedness and -compactness modulo
an ideal which simultaneously generalizes -compactness and
compactness modulo an ideal. We obtain a characterization of
maximal -compactness modulo an ideal. Preservation of
-compactness modulo an ideal by functions is also investigated.