Totally bounded metric space: Difference between revisions

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(New page: {{metric space property}} ==Definition== ===Symbol-free definition=== A metric space is termed '''totally bounded''' if for every <math>\epsilon > 0</math>, the whole space can be e...)
 
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Latest revision as of 19:59, 11 May 2008

This article defines a property that can be evaluated for a metric space

Definition

Symbol-free definition

A metric space is termed totally bounded if for every , the whole space can be expressed as a union of finitely many -balls.

Relation with other properties

Stronger properties

Weaker properties