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Concept information

mathematical technique > geometry > topology > topological space > locally convex space

Terme préférentiel

locally convex space  

Définition(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)

Concept(s) générique(s)

Concept(s) associé(s)

Synonyme(s)

  • Locally convex topological vector space

Traductions

URI

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

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RDF/XML TURTLE JSON-LD Dernière modif. 24/04/2023