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On Regular-Closed and Minimal Regular Spaces

Published online by Cambridge University Press:  20 November 2018

James E. Joseph
James E. Joseph*
Affiliation:
Department of Mathematics, Howard University, Washington, D.C.20059
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Abstract

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This paper contains several characterizations of regular-closed and minimal regular topological spaces along with some related properties.

Keywords

54D2554D3054C10Regular closed spacesminimal regular spacesfunctions with closed graphs
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 22 , Issue 4 , 01 December 1979 , pp. 491 - 497
Copyright
Copyright © Canadian Mathematical Society 1979

References

1. Berri, M. P., Porter, J. R., and Stephenson, R. M., Jr., A survey of minimal topological spaces, General Topology and its Relations to Modern Analysis and Algebra, III (Proc. Conf., Kanpur, 1968), Academia, Prague, 1971, 93-114.Google Scholar
2. Herrington, L. L., Characterizations of regular-closed spaces, Math. Chronicle 5 (1977) 168-178.Google Scholar
3. Herrington, L. L. and Long, P. E., Characterizations of H-closed spaces, Proc. Amer. Math. Soc. 48 (1975) 469-475.Google Scholar
4. Herrington, L. L. and Long, P. E., A characterization of minimal Hausdorff spaces, Proc. Amer. Math. Soc. 57 (1976) 373-374.Google Scholar
5. Joseph, J. E., On H-closed spaces, Proc. Amer. Math. Soc. 55 (1976) 223-226.Google Scholar
6. Levine, Norman, A decomposition of continuity in topological spaces, Amer. Math. Monthly 68 (1961) 44-46.Google Scholar
7. Scarborough, C. T. and Stone, A. H., Products of nearly compact spaces, Trans. Amer. Math. Soc. 124 (1966), 131-147.Google Scholar
8. Velichko, N. V., H-closed topological spaces, Mat. Sb. 70 (112) (1966), 98-112; Amer. Math. Soc. Transi. 78 (Series 2) (1969), 103-118.Google Scholar