Bounded set/Related Articles: Difference between revisions
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{{r|Metric space}} | {{r|Metric space}} | ||
{{r|Totally bounded set}} | {{r|Totally bounded set}} | ||
==Articles related by keyphrases (Bot populated)== | |||
{{r|Natural pentation}} | |||
Latest revision as of 17:00, 20 July 2024
- 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]
- 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]