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Distance functions and topologies. (English) Zbl 0757.54007
Although most of the facts and examples are known, this is a nicely written (small) survey. However, the list of references should contain more items; there are many and specific survey papers discussing the theme of this note (e.g. the reviewer’s paper in “Topological structures II”, Proc. Symp. Amsterdam 1978, Part 2, Math. Cent. Tracts 116, 209-241 (1979; Zbl 0457.54025), and others).

MSC:
54E25 Semimetric spaces
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