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Characterizations of maximal topologies

Published online by Cambridge University Press:  09 April 2009

James E. Joseph
James E. Joseph
Affiliation:
The Federal City College, Washington,, D. C., U.S.A.
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Abstract

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New characterizations of maximal topologies are given for a class of topologies including the compact, Lindelöf and m-compact topologies.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 21 , Issue 3 , May 1976 , pp. 334 - 336
Copyright
Copyright © Australian Mathematical Society 1976

References

Joseph, J. (1969), ‘Continuous functions and spaces in which compact sets are closed’, Amer. Math. Monthly 76, 1125–1126.CrossRefGoogle Scholar
Joseph, J. (to appear), ‘Compact graphs and spaces in which compact sets are closed’, Math. Mag.Google Scholar
Raha, A. B. (1973), ‘Maximal topologies’, J. Austral. Math. Soc. 15, 279–290.CrossRefGoogle Scholar
Smythe, N. and Wilkins, C. A. (1963), ‘Minimal Hausdorff and maximal compact spaces’, J. Austral. Math. Soc. 3, 167–171.CrossRefGoogle Scholar