Abstract

We present a conjugate invariant method for completing any T 0 -quasi-metric space. The completion is built as an extension of the bicompletion of the original space. For balanced T 0 -quasi-metric spaces our completion yields up to isometry the completion due to Doitchinov. The question which uniformly continuous maps between T 0 -quasi-metric spaces can be extended to the constructed completions leads us to introduce and investigate a new class of maps, which we call balanced maps.

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