# Bounded set/Related Articles

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

## Parent topics

- Topology [r]: A branch of mathematics that studies the properties of objects that are preserved through continuous deformations (such as stretching, bending and compression).
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- Bolzano–Weierstrass theorem [r]: A bounded sequence of real numbers has a convergent subsequence.
^{[e]} - Compact set [r]: A toplogical space for which every covering with open sets has a finite subcovering.
^{[e]} - Heine–Borel theorem [r]: In Euclidean space of finite dimension with the usual topology, a subset is compact if and only if it is closed and bounded.
^{[e]} - Normed space [r]: A vector space that is endowed with a norm.
^{[e]} - Norm [r]: A function on a vector space that generalises the notion of the distance from a point of a Euclidean space to the origin.
^{[e]} - Metric space [r]: Any topological space which has a metric defined on it.
^{[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.
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