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Summary Of: Metric space

The metric space which most closely corresponds to our intuitive understanding of space is the 3... for a metric space if it is clear from the context what metric is used... The treatment of a metric space as a topological space is so consistent that it is almost a part of the... which can arise in this way from a metric space is called a... there is always a metric space associated to it... forms a metric space if we define the metric as above... into a metric space by defining the distance of two points as the... into a metric space by defining the... compact metric spaces form a metric space with respect to... of a metric space is also a metric space... matrices over a finite field is a metric space with respect to the... any subset of a metric space is a metric space itself... function defined on a closed subset of a metric space can be extended to a continuous map on the whole space... map defined on a subset of a metric space can be extended to a Lipschitz... a compact metric space is second countable...

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Metric space".