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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Weiss, I. A note on the metrizability of spaces. Algebra Univers. 73, 179–182 (2015). https://doi.org/10.1007/s00012-015-0319-2
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DOI: https://doi.org/10.1007/s00012-015-0319-2