Journal of the Australian Mathematical Society - Series A
Vol. 64 Part 3 (1998)
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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© Copyright 1998, Australian Mathematical Society
TeXAdel Scientific Publishing
1998-09-18
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