Metrization of Ranked Spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1984 English Publisher:Canadian Mathematical SocietyJournal:Canadian Mathematical Bulletin, volume 27, pages 385-389 (issn: 0008-4395, eissn: 1496-4287,

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Authors: Ishikawa, Fumie;

doi: 10.4153/cmb-1984-059-5

Metrization of Ranked Spaces

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Abstract

AbstractK. Kunugi introduced the notion of ranked space as a generalization of that of metric spaces, (see [6]). In this note we define a metrizability of ranked spaces and study conditions under which a ranked space is metrizable.

Related Organizations

Osaka Shoin Women's University
Japan

Keywords

classical metrization theorems, Metric spaces, metrizability, Frink's theorem, metrizability of ranked spaces, Aleksandrov-Urysohn's theorem

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