The uniform structure will be the pseudometric uniformity induced by the above pseudometric.
2.
The uniform structure will be the pseudometric uniformity induced by the above pseudometric.
3.
That is, points in a pseudometric space may be " infinitely close " without being identical.
4.
An analogous pseudometric was constructed for flat affine and projective structures in and then generalized to ( normal ) projective connections.
5.
*PM : generalization of a pseudometric, id = 8936 new !-- WP guess : generalization of a pseudometric-- Status:
6.
*PM : generalization of a pseudometric, id = 8936 new !-- WP guess : generalization of a pseudometric-- Status:
7.
First, consider a property of topological spaces, such as being pseudometric . ( Again, there is a more direct definition of pseudometric .)
8.
First, consider a property of topological spaces, such as being pseudometric . ( Again, there is a more direct definition of pseudometric .)
9.
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.
10.
That is, a pseudometric is a metric if and only if the topology it generates is T 0 ( i . e . distinct points are topologically distinguishable ).
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