# Normed space/Related Articles

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*See also changes related to Normed space, or pages that link to Normed space or to this page or whose text contains "Normed space".*

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- Banach space [r]: A vector space endowed with a norm that is complete.
^{[e]} - Bounded set [r]: A set for which there is a constant
*C*such that the norm of all elements in the set is less than*C*.^{[e]} - Compact space [r]: A toplogical space for which every covering with open sets has a finite subcovering.
^{[e]} - Inner product space [r]: A vector space that is endowed with an inner product and the corresponding norm.
^{[e]} - Metric space [r]: Any topological space which has a metric defined on it.
^{[e]} - Space (mathematics) [r]: A set with some added structure, which often form a hierarchy, i.e., one space may inherit all the characteristics of a parent space.
^{[e]} - Totally bounded set [r]: A subset of a metric space with the property that for any positive radius it is coveted by a finite union of open balls of given radius.
^{[e]}