No CrossRef data available.
Article contents
Characterizations of s-closed Hausdorff spaces
Part of:
Fairly general properties
Published online by Cambridge University Press: 09 April 2009
Extract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
A topological space X is said to be S-closed if every cover of X by regular closed sets of X has a finite subcover. In this note some characterizations of S-closed Hausdorff spaces are obtained.
MSC classification
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1991
References
[1]Crossley, S. Gene and Hildebrand, S. K., ‘Semi-closure’, Texas J. Sci. 22 (1971), 99–112.Google Scholar
[2]Di Maio, G., ‘S-closed spaces, S-sets and S-continuous functions’, Atti Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur. 118 (1984), 125–134.Google Scholar
[3]Ganster, M., Noiri, T. and Reilly, I. L., ‘Weak and strong forms of θ-irresolute functions’, J. Inst. Math. Comp. Sci. Math. Ser. 1 (1988), 19–29.Google Scholar
[4]Herrmann, R. A., ‘RC-convergence’, Proc. Amer. Math. Soc. 75 (1979), 311–317.CrossRefGoogle Scholar
[5]Joseph, J. E. and Kwack, M. H., ‘On S-closed spaces’, Proc. Amer. Math. Soc. 80 (1980), 341–348.Google Scholar
[6]Levine, N., ‘Semi-open sets and semi-continuity in topological spaces’, Amer. Math. Monthly 70 (1963), 36–41.CrossRefGoogle Scholar
[7]Noiri, T., ‘On S-closed subspaces’, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fi. Mat. Natur. (8) 64 (1978), 157–162.Google Scholar
[8]Soundararajan, T., ‘Weakly Hausdorff spaces and the cardinality of topological spaces’, General Topology and its Relations to Modern Analysis and Algebra III, Proc. Conf. Kampur, 1968; pp. 301–306 (Academia, Prague, 1971).Google Scholar