pseudometric space
A pseudometric space is a set together with a non-negative real-valued function (called a pseudometric) such that, for every ,
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.
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In other words, a pseudometric space is a generalization of a metric space in which we allow the possibility that for distinct values of and .
References
- 1 L.A. Steen, J.A.Seebach, Jr.,Counterexamples in topology,Holt, Rinehart and Winston, Inc., 1970.