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METRIZAT

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Definitions of metrizat in various dictionaries:

METRIZAT - In topology and related areas of mathematics, a metrizable space is a topological space that is homeomorphic to a metric space. That is, a topologica...

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

Metrizat might refer to

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
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* . Metrization theorems are theorems that give sufficient conditions for a topological space to be metrizable.

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