Complete metric space/Related Articles

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< Complete metric space
Revision as of 11:20, 4 January 2009 by imported>Richard Pinch (Completeness (mathematics)/Related Articles moved to Complete metric space/Related Articles: Further disambiguate meaning within mathematics)
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A list of Citizendium articles, and planned articles, about Complete metric space.
See also changes related to Complete metric space, or pages that link to Complete metric space or to this page or whose text contains "Complete metric space".

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

  • Cauchy sequence [r]: Sequence in which the distance between two elements becomes smaller and smaller. [e]
  • Metric space [r]: Any topological space which has a metric defined on it. [e]
  • Limit of a sequence [r]: A sequence which converges to (or approaches) the limit a as n tends to infinity. [e]
  • Banach space [r]: A vector space endowed with a norm that is complete. [e]
  • Hilbert space [r]: A complete inner product space. [e]
  • Completion [r]: Please do not use this term in your topic list, because there is no single article for it. Please substitute a more precise term. See Completion (disambiguation) for a list of available, more precise, topics. Please add a new usage if needed.
  • 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]