Definition of Pseudometric. Meaning of Pseudometric. Synonyms of Pseudometric

- mathematics, a pseudometric space is a generalization of a metric space in which the distance between two distinct points can be zero. Pseudometric spaces were...
- Pseudometric may refer to: The metric of a pseudo-Riemannian manifold, a non-degenerate, smooth, symmetric tensor field of arbitrary signature Pseudometric...
- by a metric (resp. pseudometric). An LM-space is an inductive limit of a sequence of locally convex metrizable TVS. A pseudometric on a set X {\displaystyle...
- equivalently using systems of pseudometrics, an approach that is particularly useful in functional analysis (with pseudometrics provided by seminorms). More...
- limit exists because the real numbers are complete.) This is only a pseudometric, not yet a metric, since two different Cauchy sequences may have the...
- is a sensible structure on X; it is a pseudometric. (Again, there is a more direct definition of pseudometric.) In this way, there is a natural way to...
- x\rVert :=d(x,0).} A similar relationship holds between seminorms and pseudometrics. Among examples of metrics induced by a norm are the metrics d1, d2...
- mathematics and especially complex geometry, the Kobayashi metric is a pseudometric intrinsically ****ociated to any complex manifold. It was introduced by...
- cannot be distinguished by topological means. Every indiscrete space is a pseudometric space in which the distance between any two points is zero. The trivial...
- useful than others depending on the application. (BCT1) Every complete pseudometric space is a Baire space. In particular, every completely metrizable topological...