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searching for Hausdorff completion 5 found (8 total)

alternate case: hausdorff completion

Uniform space (4,314 words) [view diff] exact match in snippet view article find links to article

with metric spaces, every uniform space X{\displaystyle X} has a Hausdorff completion: that is, there exists a complete Hausdorff uniform space Y{\displaystyle
Complete topological vector space (15,843 words) [view diff] exact match in snippet view article find links to article
as a dense vector subspace. Moreover, every Hausdorff TVS has a Hausdorff completion, which is necessarily unique up to TVS-isomorphism. However, as discussed
Topological vector space (13,097 words) [view diff] exact match in snippet view article find links to article
space. Every TVS has a completion and every Hausdorff TVS has a Hausdorff completion. Every TVS (even those that are Hausdorff and/or complete) has infinitely
Banach space (16,856 words) [view diff] exact match in snippet view article find links to article
this Banach space is called a completion of the normed space. This Hausdorff completion is unique up to isometric isomorphism. More precisely, for every
Locally convex topological vector space (10,201 words) [view diff] exact match in snippet view article find links to article
space H{\displaystyle H} containing X{\displaystyle X} (such as the Hausdorff completion of X{\displaystyle X} for instance) will be compact (this is the