Contra-continuous functions and strongly S -closed spaces

J. Dontchev

International Journal of Mathematics and Mathematical Sciences, 1996, vol. 19, 1-8

Abstract:

In 1989 Ganster and Reilly [6] introduced and studied the notion of L C -continuous functions via the concept of locally closed sets. In this paper we consider a stronger form of L C -continuity called contra-continuity. We call a function f : ( X , τ ) → ( Y , σ ) contra-continuous if the preimage of every open set is closed. A space ( X , τ ) is called strongly S -closed if it has a finite dense subset or equivalently if every cover of ( X , τ ) by closed sets has a finite subcover. We prove that contra-continuous images of strongly S -closed spaces are compact as well as that contra-continuous, β -continuous images of S -closed spaces are also compact. We show that every strongly S -closed space satisfies FCC and hence is nearly compact.

Date: 1996
References: Add references at CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/19/953839.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/19/953839.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:953839

DOI: 10.1155/S0161171296000427

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 ().