Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 150459, Zarqa 13115, Jordan
Copyright © 2009 Mohammad S. Sarsak. 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 continue the study of semicompact sets in a topological space. Several
properties, mapping properties of semicompact sets are studied.
A special interest to spaces is given, where a space is if
every subset of which is semicompact in is semiclosed; we study
several properties of such spaces, it is mainly shown that a semi- semicompact space is if and only if it is extremally disconnected.
It is also shown that in an -regular space if every point has an neighborhood, then is .