metrizable

metrizable
metristyvä

English-Finnish mathematical dictionary. 2011.

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  • metrizable — adjective a) measurable, quantifiable b) Of a set that is a topological space for which a metric exists that will induce a topology. See Also: metric …   Wiktionary

  • metrizable — …   Useful english dictionary

  • Completely metrizable space — In mathematics, a completely metrizable space (complete topological space or topologically complete space) is a topological space (X, T) for which there exists at least one metric d on X such that (X, d) is a complete metric space and d induces… …   Wikipedia

  • completely metrizable — adjective Of a set, that it is metrizable and, under such given metric, complete …   Wiktionary

  • metrize — metrizable, adj. metrization, n. /mi truyz , me truyz/, v.t., metrized, metrizing. Math. to find a metric for (a topological space for which the metric topology is the given topology). Also, metricize; esp. Brit., metrise. [METR(IC)2 + IZE] * * * …   Universalium

  • metrize — metrizable, adj. metrization, n. /mi truyz , me truyz/, v.t., metrized, metrizing. Math. to find a metric for (a topological space for which the metric topology is the given topology). Also, metricize; esp. Brit., metrise. [METR(IC)2 + IZE] …   Useful english dictionary

  • Metrization theorem — In topology and related areas of mathematics, a metrizable space is a topological space that is homeomorphic to a metric space. That is, a topological space (X,τ) is said to be metrizable if there is a metric such that the topology induced by d… …   Wikipedia

  • Moore space (topology) — In mathematics, more specifically point set topology, a Moore space is a developable regular Hausdorff space. Equivalently, a topological space X is a Moore space if the following conditions hold: Any two distinct points can be separated by… …   Wikipedia

  • Espacio métrico — Saltar a navegación, búsqueda En matemática, un espacio métrico es un tipo particular de espacio topológico donde una distancia entre puntos está definida. Corresponde al caso muy común en que se dispone de una noción de distancia sobre el… …   Wikipedia Español

  • Glossary of topology — This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no absolute distinction between different areas of topology, the focus here is on general topology. The following definitions are also… …   Wikipedia

  • Polish space — In mathematics, a Polish space is a separable completely metrizable topological space; that is, a space homeomorphic to a complete metric space that has a countable dense subset. Polish spaces are so named because they were first extensively… …   Wikipedia

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