What does metrizable mean?

Definitions for metrizable
metriz·able

This dictionary definitions page includes all the possible meanings, example usage and translations of the word metrizable.

Wiktionary

  1. metrizableadjective

    measurable, quantifiable

  2. metrizableadjective

    Of a set that is a topological space for which a metric exists that will induce a topology.

Wikipedia

  1. metrizable

    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 ) {\displaystyle (X,\tau )} is said to be metrizable if there is a metric d : X × X → [ 0 , ∞ ) {\displaystyle d:X\times X\to [0,\infty )} such that the topology induced by d {\displaystyle d} is τ . {\displaystyle \tau .} Metrization theorems are theorems that give sufficient conditions for a topological space to be metrizable.

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Numerology

  1. Chaldean Numerology

    The numerical value of metrizable in Chaldean Numerology is: 7

  2. Pythagorean Numerology

    The numerical value of metrizable in Pythagorean Numerology is: 3

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"metrizable." Definitions.net. STANDS4 LLC, 2024. Web. 20 Apr. 2024. <https://www.definitions.net/definition/metrizable>.

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