User:Pseudometric
User:Pseudometric Richard E. Silverman author ...
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Talk:Kolmogorov space
... sensible structure on X ; it is a pseudometric. (Again, there is a more direct definition of pseudometric.) I don't think of a metric ... And saying that the KQ of a pseudometric space is a metric space is certainly ... but the structure of having a specific pseudometric. IOW, L 2 (R) is not only ... on it (from the POV of the pseudometric that we started from, of course). ...
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Topology glossary
... continuous function on the space is bounded. Pseudometric. See Pseudometric space. Pseudometric space. A pseudometric space (M, d) is a set M ... of indiscernibles. The function d is a pseudometric on M. Every metric is a ...
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Category:Previous 168 years   (translated from Chinese)
... − B) Pseudocompact 若是所有的實值連續函數都是有界的，則稱這個空間為 pseudocompact。 Pseudometric。 參閱 Pseudometric space。 Pseudometric 空間。 一個 pseudometric 空間 (M, d) 是指空間 M 和函數 d ... x=y 這個條件之外，所有賦距空間的條件。函數 d 被稱為 M 上的 pseudometric 。 所有的賦距空間都是 pseudometric 空間。 Punctured neighbourhood/Punctured neighborhood。 點 ...
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Trivial structure   (translated from Spanish)
... sort. The debilitated forms of some expressions (pseudometric, preorder, etc.) they allow to be coherent ... like 1, and X it is espacio pseudometric (in)discreto if it is equipped of ... operation ( Graphical summary Colors:� topología uniformity pseudometric preorder grupoide categorial Unification 1 Topología Or ... x X "Minimum Strip" Or =? X 3 pseudometric d(x, and) = 0 "Ball 0 of ... métrico indiscreet is totally limited. Each espacio pseudometric indiscreet is limited. Each indiscreet space ...
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Metric (mathematics)
... x,0) Similarly, a seminorm induces a pseudometric and a homogeneous, translation invariant pseudometric induces a seminorm. Related concepts and alternative ... If one drops property 2, one obtains pseudometric spaces. Dropping property 3 instead, one obtains ... the categorical point of view, the extended pseudometric and the extended pseudoquasimetric spaces, along with ... Riemannian metric tensor, which integrates to a pseudometric. These are used in the geometric ...
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Locally convex topological vector space
... the Hausdorff criterion in the definition. A pseudometric is a generalisation of a metric which ... meaning that its topology arises from a pseudometric, iff it has a countable family of seminorms. Indeed, the pseudometric is given by $d(x,y\; ...\; y)\}\{1+p\_n(x-y)\}.$ This pseudometric is translation-invariant. If the family of seminorms is also separated, the pseudometric is an honest metric. If furthermore ...
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Talk:Metric space/Archive1
... called the "trivial topology", and since the pseudometric ( a pseudometric is defined by dropping the condition that ... and y, is usually called the "trivial pseudometric". Finally, the notions of discete space (all ...
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Kolmogorov space
... has a seminorm, and these define a pseudometric and a uniform structure that are compatible ... sensible structure on X; it is a pseudometric. (Again, there is a more direct definition of pseudometric.) In this way, there is a natural ...
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Metric tensor   (translated from German)
... only semidefinit, is called then more exactly pseudometric tensor. If a local coordinate system x ... x, y,; summarized. The metric (more exact: pseudometric) tensor reads in the usually-common convention ...
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