A remark on C-Compact Spaces

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

Abstract:

It has been observed by a number of researchers 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.

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