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WebAs with metric spaces, every separated uniform space has a completion, that is, there exists a complete separated uniform space Y such that X is a dense subuniform space of Y. Y … Webbeen noted that a Hausdorff completion of a totally bounded separated uniform space leads to a T2 compactification of the underlying topological space, e.g. Isbell [1 pp 21-24]. Examining this observation carefully leads to this section’s main result. Given a T31 2 space (X,τ), T B(X) will denote the set of totally bounded uniformities pm gatishakti national master plan pdf

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