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Almost continuity implies closure continuity†

Published online by Cambridge University Press:  18 May 2009

Mohammad Saleh
Mohammad Saleh
Affiliation:
Mathematics Department, Birzeit University, PO Box 14, Birzeit, West Bank, Palestine
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Abstract

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The purpose of this note is to answer in the affirmative a long standing open question raised by Singal and Singal — whether every almost continuous function is closure continuous (θ-continuous).

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 40 , Issue 2 , May 1998 , pp. 263 - 264
Copyright
Copyright © Glasgow Mathematical Journal Trust 1998

References

1.Alexandroff, P. and Urysohn, P., Mèmoire sur les espaces topologiques compacts, Verh. Nederl. Akad. Wetensch. Afd. Natuurk. Sect. l 14 (1929), 1–96.Google Scholar
2.Andrew, D. R. and Whittlesy, E. K., Closure continuity, Amer. Math. Monthly 73 (1966), 758–759.CrossRefGoogle Scholar
3.Fomin, S. V., Extensions of topological spaces, C. R. Dokl. Akad. Sci. URSS (M. S.) 32 (1941), 114–116.Google Scholar
4.Herrington, L., Properties of nearly-compact spaces, Proc. Amer. Math. Soc. 45 (1974), 431–436.CrossRefGoogle Scholar
5.Long, P. E. and McGehee, E. E., Properties of almost continuous functions, Proc. Amer. Math. Soc. 24 (1970), 175–180.CrossRefGoogle Scholar
6.Long, P. E. and Carnahan, D. A., Comparing almost continuous functions, Proc. Amer. Math. Soc. 38 (1973), 413–418.CrossRefGoogle Scholar
7.Noire, T., On weakly continuous mappings, Proc. Amer. Math. Soc. 46(1) (1974), 120–124.CrossRefGoogle Scholar
8.Scarborough, C. T. and Stone, A. H., Products of nearly compact spaces, Trans. Amer. Math. Soc. 124 (1966), 131–147.CrossRefGoogle Scholar
9.Singal, M. K. and Singal, A. R., Almost continuous mappings, Yokohama Math. J. 16 (1968), 63–73.Google Scholar
10.Singal, M. K. and Mathur, A., On nearly compact spaces, Boll. Un. Mat. Ital. 4(2) (1969), 702–710.Google Scholar