A note on the metrizability of spaces

Ittay Weiss

doi:10.1007/s00012-015-0319-2

A note on the metrizability of spaces

Ittay Weiss^*

^*Corresponding author for this work

University of the South Pacific

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the problem of metrizability and we propose two (in some sense dual) interpretations of it. One interpretation leads to considering the category of metrizable spaces. This is the classical approach with numerous well-known results. The second interpretation leads to considering an extension of the category of metric spaces. This is achieved in the more recent work of Flagg.

Original language	English
Pages (from-to)	179-182
Number of pages	4
Journal	Algebra Universalis
Volume	73
Issue number	2
DOIs	https://doi.org/10.1007/s00012-015-0319-2
Publication status	Published - 9 Apr 2015

Keywords

06F07
Primary: 54A05
Secondary: 54E35

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10.1007/s00012-015-0319-2

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abstract = "We consider the problem of metrizability and we propose two (in some sense dual) interpretations of it. One interpretation leads to considering the category of metrizable spaces. This is the classical approach with numerous well-known results. The second interpretation leads to considering an extension of the category of metric spaces. This is achieved in the more recent work of Flagg.",

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AB - We consider the problem of metrizability and we propose two (in some sense dual) interpretations of it. One interpretation leads to considering the category of metrizable spaces. This is the classical approach with numerous well-known results. The second interpretation leads to considering an extension of the category of metric spaces. This is achieved in the more recent work of Flagg.

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KW - Secondary: 54E35

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A note on the metrizability of spaces

Abstract

Keywords

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