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All topologies come from generalized metrics. (English) Zbl 0653.54020
An approach to topological spaces via quasimetrics with values in special semigroups is developed. It is shown that a space is completely regular iff it is induced by a symmetric quasimetric. No historical comments and no references to many similar approaches are given.
Reviewer: M.Hušek

MSC:
54E99 Topological spaces with richer structures
54A05 Topological spaces and generalizations (closure spaces, etc.)
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