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Concept information

Preferred term

locally convex space  

Definition(s)

  • In topology and related branches of mathematics, a topological space is called locally compact if, roughly speaking, each small portion of the space looks like a small portion of a compact space. More precisely, it is a topological space in which every point has a compact neighborhood. In mathematical analysis locally compact spaces that are Hausdorff are of particular interest; they are abbreviated as LCH spaces. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Locally_compact_space)

Broader concept(s)

Synonym(s)

  • Locally convex topological vector space

In other languages

URI

http://data.loterre.fr/ark:/67375/MDL-LQH2B9QV-C

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