That is, points in a pseudometric space may be " infinitely close " without being identical.
2.
Pseudometric spaces typically are not Hausdorff, but they are preregular, and their use in analysis is usually only in the construction of Hausdorff gauge spaces.
3.
Unlike a metric space, points in a pseudometric space need not be distinguishable; that is, one may have d ( x, y ) = 0 for distinct values x \ ne y.
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