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Concept information

geometry > topological space > neighborhood

Preferred term

neighborhood  

Definition(s)

  • In topology and related areas of mathematics, a neighbourhood (or neighborhood) is one of the basic concepts in a topological space. It is closely related to the concepts of open set and interior. Intuitively speaking, a neighbourhood of a point is a set of points containing that point where one can move some amount in any direction away from that point without leaving the set.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Neighbourhood_(mathematics))

Broader concept(s)

Synonym(s)

  • neighbourhood

In other languages

URI

http://data.loterre.fr/ark:/67375/PSR-WH3R3X3R-6

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