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For questions requesting examples of a certain structure or phenomenon

5 votes
3 answers
546 views

Nonmetrizable uniformities with metrizable topologies

I'm looking for such pathological examples of uniform spaces which are not metrizable, but whose underlying topology is metrizable. … I am asking for examples which do not rely on ordinals. EDIT: Below is an example by Daniel Tausk using families of pseudometrics. …
Bruno Stonek's user avatar
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