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A topological category suited for approximation theory? (English) Zbl 0675.41046
Some observations lead us to wonder whether there exists a framework in which “approximation-convergence” could be developed in the same way as, e.g. convergence is developed in TOP (the category of topological spaces and continuous maps). The purpose of the paper is to investigate whether AP (the category of approach spaces and contractions, which are introduced by the author) is suited to this end.
Reviewer: D.K.Ugulawa

MSC:
41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
54H99 Connections of general topology with other structures, applications
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