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Heath g-functions and metrization

Published online by Cambridge University Press:  09 April 2009

Abdul M. Mohamad
Affiliation:
Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P. O. Box 36, Al-Khodh 123, Muscat, Oman e-mail: [email protected]
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Abstract

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In this paper, we present some new metrization theorems in terms of Heath g–functions.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2005

References

[1]Bing, R. H., ‘Metrization of topological spaces’, Canad. J. Math. 3 (1951), 175186.CrossRefGoogle Scholar
[2]Gruenhage, G., ‘Generalized metric spaces’, in: Handbook of set-theoretic topology (North-Holland, Amsterdam, 1984) pp. 423501.CrossRefGoogle Scholar
[3]Heath, R. W., ‘Arc-wise connectedness in semi-metric spaces’, Pacific J. Math. 12 (1962), 13011319.CrossRefGoogle Scholar
[4]Hodel, R., ‘Moore spaces and wΔ-spaces’, Pacific J. Math. 38 (1971), 641652.CrossRefGoogle Scholar
[5]Ishii, T., ‘On wM-spaces. I’, Proc. Japan Acad. 46 (1970), 510.Google Scholar