A REMARK ON C-COMPACT SPACES

Authors
NAYAR BMP
Citation
Bmp. Nayar, A REMARK ON C-COMPACT SPACES, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 64, 1998, pp. 327-328
Citations number
3
Categorie Soggetti
Mathematics,"Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
64
Year of publication
1998
Part
3
Pages
327 - 328
Database
ISI
SICI code
0263-6115(1998)64:<327:>2.0.ZU;2-A
Abstract
It has been observed by a number of researchers that although it is we ll-known that all continuous functions defined on C-compact spaces are closed functions, this property does not characterize C compact space s. In this note we employ the notion of strongly subclosed relations t o prove that a space is C-compact if and only if all functions on it w ith strongly subclosed inverses are closed functions.