Complete topological vector space
id:
complete-topological-vector-space-240-10059039
title:
Complete topological vector space
text:
In functional analysis and related areas of mathematics, a complete topological vector space is a topological vector space (TVS) with the property that whenever points get progressively closer to each other, then there exists some point x towards which they all get closer. The notion of "points that get progressively closer" is made rigorous by Cauchy nets or Cauchy filters, which are generalizations of Cauchy sequences, while "point x towards which they all get closer" means that this Cauchy ne
brand slug:
wiki
category slug:
encyclopedia
description:
A TVS where points that get progressively closer to each other will always converge to a point
original url:
https://en.wikipedia.org/wiki/Complete_topological_vector_space
date created:
date modified:
2023-11-25T19:08:39Z
main entity:
{"identifier":"Q104842536","url":"https://www.wikidata.org/entity/Q104842536"}
image:
fields total:
13
integrity:
14