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Concept information

topology > general topology > accumulation point

Preferred term

accumulation point  

Definition(s)

  • In mathematics, a limit point, accumulation point, or cluster point of a set S in a topological space X is a point x that can be "approximated" by points of S in the sense that every neighbourhood of x with respect to the topology on X also contains a point of S other than x itself. A limit point of a set S does not itself have to be an element of S. There is also a closely related concept for sequences.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Accumulation_point)

Broader concept(s)

Synonym(s)

  • cluster point
  • limit point

In other languages

URI

http://data.loterre.fr/ark:/67375/PSR-BV206ZJQ-N

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RDF/XML TURTLE JSON-LD Created 7/24/23, last modified 8/11/23