On Semicompact Sets and Associated Properties
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-02-18
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We continue the study of semicompact sets in a topological space.
Several properties, mapping properties of semicompact sets are studied.
A special interest to SCS spaces is given, where a space X is SCS if every subset of X which is semicompact in X is semiclosed; we study several properties of such spaces, it is mainly shown that a semi-T2 semicompact space is SCS if and only if it is extremally disconnected.
It is also shown that in an os-regular space X if every point has an SCS neighborhood, then X is SCS.
American Psychological Association (APA)
Sarsak, Mohammad S.. 2010. On Semicompact Sets and Associated Properties. International Journal of Mathematics and Mathematical Sciences،Vol. 2009, no. 2009, pp.1-8.
https://search.emarefa.net/detail/BIM-473731
Modern Language Association (MLA)
Sarsak, Mohammad S.. On Semicompact Sets and Associated Properties. International Journal of Mathematics and Mathematical Sciences No. 2009 (2009), pp.1-8.
https://search.emarefa.net/detail/BIM-473731
American Medical Association (AMA)
Sarsak, Mohammad S.. On Semicompact Sets and Associated Properties. International Journal of Mathematics and Mathematical Sciences. 2010. Vol. 2009, no. 2009, pp.1-8.
https://search.emarefa.net/detail/BIM-473731
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-473731
