Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-25T22:50:23.412Z Has data issue: false hasContentIssue false
  • English
  • Français

A Note on Quasi-Metrizability

Published online by Cambridge University Press:  20 November 2018

Gary Gruenhage
Gary Gruenhage*
Affiliation:
Auburn University, Auburn, Alabama
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.

Let X be a set. A function d from X X X into the nonnegative real numbers is called a ﹛non-archimedean) quasi-metric on X if

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 2 , 01 April 1977 , pp. 360 - 366
Copyright
Copyright © Canadian Mathematical Society 1977

References

1. Hodel, R. E., Spaces defined by sequences of open covers which guarantee that certain sequences have cluster points, Duke Math. J. 39 (1972), 253–263.Google Scholar
2. Kofner, Ya. A., On A-metrizable spaces, Math. Notes Acad. See. USSR 13 (1973), 168–174.Google Scholar
3. Liridgren, W. F. and Fletcher, P., Locally quasi-uniform spaces with countable bases, Duke Math. J. 41 (1974), 231–240.Google Scholar
4. Lindgren, W. F. and Nyikos, P. J., Spaces with bases satisfying certain order and intersection properties, to appear, Pacific J. Math.Google Scholar
5. Nyikos, P. J., Some surprising base properties in topology, in Studies in Topology (New York, Academic Press, 1975).Google Scholar
6. Rudin, M. E., Lectures on set theoretic topology (Regional Conference Series in Mathematics CBMS 23, Amer. Math. Soc, 1975).Google Scholar