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metric space 名词

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For example a metric space can be regarded as an enriched category.
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The two spaces are complete as a metric space, but neither are algebraically complete.
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A further generalization of the theorem was proven by, to sets of real-valued continuous functions with domain a compact metric space.
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Roughly speaking, the tensor product is the metric space completion of the ordinary tensor product.
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If the measure space is separable, it can be shown that the corresponding metric space is, too.
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The metric space formed in this way from a polyhedron is called its development.
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A metric space is injective if and only if it is an injective object in the category of metric spaces and metric maps.
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These notions of a limit attempt to provide a metric space interpretation to limits at infinity.
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Every compact metric space is complete, though complete spaces need not be compact.
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Such change of the metric preserves some its properties, for example the property to be a complete metric space.
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