Hostname: page-component-cb9f654ff-fg9bn Total loading time: 0 Render date: 2025-08-22T12:06:35.349Z Has data issue: false hasContentIssue false
  • English
  • Français

Heath g-functions and metrization

Part of: Spaces with richer structures

Published online by Cambridge University Press:  09 April 2009

Abdul M. Mohamad
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: mohamad@squ.edu.om
Rights & Permissions [Opens in a new window]

Abstract

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.

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

Keywords

stratifiabilitywM–spaceHeath g–functionmetrizability

MSC classification

Secondary: 54E30: Moore spaces 54E35: Metric spaces, metrizability

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 78 , Issue 1 , February 2005 , pp. 103 - 108
Copyright
Copyright © Australian Mathematical Society 2005

References

[1]Bing, R. H., ‘Metrization of topological spaces’, Canad. J. Math. 3 (1951), 175–186.CrossRefGoogle Scholar
[2]Gruenhage, G., ‘Generalized metric spaces’, in: Handbook of set-theoretic topology (North-Holland, Amsterdam, 1984) pp. 423–501.CrossRefGoogle Scholar
[3]Heath, R. W., ‘Arc-wise connectedness in semi-metric spaces’, Pacific J. Math. 12 (1962), 1301–1319.CrossRefGoogle Scholar
[4]Hodel, R., ‘Moore spaces and wΔ-spaces’, Pacific J. Math. 38 (1971), 641–652.CrossRefGoogle Scholar
[5]Ishii, T., ‘On wM-spaces. I’, Proc. Japan Acad. 46 (1970), 5–10.Google Scholar