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A remark on C-compact spaces
Published online by Cambridge University Press: 09 April 2009
Abstract
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.
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- Copyright © Australian Mathematical Society 1998