Countably I -Compact Spaces

Bassam Al-Nashef

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 26, 1-7

Abstract:

We introduce the class of countably I -compact spaces as a proper subclass of countably S -closed spaces. A topological space ( X , T ) is called countably I -compact if every countable cover of X by regular closed subsets contains a finite subfamily whose interiors cover X . It is shown that a space is countably I -compact if and only if it is extremally disconnected and countably S -closed. Other characterizations are given in terms of covers by semiopen subsets and other types of subsets. We also show that countable I -compactness is invariant under almost open semi-continuous surjections.

Date: 2001
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/26/150405.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/26/150405.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:150405

DOI: 10.1155/S0161171201005889

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().