Kopperman, Ralph All topologies come from generalized metrics. (English) Zbl 0653.54020 Am. Math. Mon. 95, No. 2, 89-97 (1988). 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 Cited in 4 ReviewsCited in 40 Documents MSC: 54E99 Topological spaces with richer structures 54A05 Topological spaces and generalizations (closure spaces, etc.) Keywords:metrics into semigroups PDFBibTeX XMLCite \textit{R. Kopperman}, Am. Math. Mon. 95, No. 2, 89--97 (1988; Zbl 0653.54020) Full Text: DOI