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searching for Hausdorff completion 3 found (5 total)

alternate case: hausdorff completion

Complete metric space (2,042 words) [view diff] no match in snippet view article find links to article

It is always possible to "fill all the holes", leading to the completion of a given space, as explained below. Examples: The space Q of ...
Uniform space (2,480 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 a ...
Lebesgue integration (5,371 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 ...