A double completion for an arbitrary T-0-quasi-metric space
We resent 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 continous 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. (C) 2008 Elsevier Inc. All rights reserved.
completion t-0-quasi-metric quasi-pseudometric biocompletion d-cauchy filter balanced quasi-metric cauchy filter pair doitchinov completion quiet quasi-uniform space