Hausdorff Completion

Some articles on hausdorff completion, hausdorff:

Completeness - Hausdorff Completion of A Uniform Space
... spaces, every uniform space X has a Hausdorff completion that is, there exists a complete Hausdorff uniform space Y and a uniformly continuous map i X → Y with the following property for ... The Hausdorff completion Y is unique up to isomorphism ... entourages of X, and thus i is injective precisely when X is Hausdorff ...