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A remark on C-compact spaces

Part of: Maps and general types of spaces defined by maps Fairly general properties

Published online by Cambridge University Press:  09 April 2009

Bhamini M. P. Nayar
Bhamini M. P. Nayar
Affiliation:
Department of Mathematics Morgan State UniversityBaltimore, MD 21251USA e-mail: bnayar@morgan.edu.
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Abstract

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It has been observed by a number of researches that although it is well-known that all continuous functions defined on C-compact spaces are closed functions, this property does not characterize C-compact spaces. In this note we employ the notion of strongly subclosed relations to prove that a space is C-compact if and only if all functions on it with strongly subclosed inverses are closed functions.

Keywords

C-compact spacesstrongly subclosed relationsclosed functions.

MSC classification

Secondary: 54D25: “$P$-minimal” and “$P$-closed” spaces 54C99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 64 , Issue 3 , June 1998 , pp. 327 - 328
Copyright
Copyright © Australian Mathematical Society 1998

References

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