searching for Hausdorff completion 3 found (5 total)

alternate case: hausdorff completion

Complete metric space
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It is always possible to "fill all the holes", leading to the completion of a given space, as explained below. Examples: The space Q ofUniform space (2,520 words) [view diff] exact match in snippet view article find links to article...

Hausdorff completion of a uniform space: As with metric spaces, every uniform space X has a Hausdorff completion: that is, there exists aLebesgue integration (5,372 words) [view diff] exact match in snippet view article find links to article...

All metric spaces have Hausdorff completions , so let L 1 be its completion. This space is isomorphic to the space of Lebesgue integrable...