# Bounded set/Related Articles  Main Article Discussion Related Articles  [?] Bibliography  [?] External Links  [?] Citable Version  [?] A list of Citizendium articles, and planned articles, about 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). [e]

## Other related topics

• 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. [e]