Bounded set/Related Articles

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A list of Citizendium articles, and planned articles, about Bounded set.
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). [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]