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Characterization of Certain Classes of Spaces With Gδ Points as Open Images of Metric Spaces

Published online by Cambridge University Press:  20 November 2018

Kenneth C. Abernethy
Kenneth C. Abernethy*
Affiliation:
Waynesbitrg College Waynesbitrg, Pennsylvania
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The study of metrization has led to the development of a number of new topological spaces, called generalized metric spaces, within the past fifteen years. For a survey of results in metrization theory involving many of these spaces, the reader is referred to [13]. Quite a few of these generalized metric spaces have been studied extensively, somewhat independently of their role in metrization theorems. Specifically, we refer here to characterizations of these spaces by various workers as images of metric spaces. Results in this area have been obtained by Alexander [2], Arhangel'skii [3], Burke [5], Heath [10], Michael [15], Nagata [16], and the author [1], to mention a few. Later we will recall specifically some of these results.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 6 , 01 December 1975 , pp. 1229 - 1238
Copyright
Copyright © Canadian Mathematical Society 1975

References

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