Bounded set > Related Articles

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http://en.citizendium.org/wiki?title=Bounded_set/Related_Articles&printable=yes
A list of Citizendium articles, and planned articles, about Bounded set.
See also pages that link to Bounded set or to this page.

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]
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