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## User: ioannis-gounaridis

### Title: On Stoltenberg's quasi-uniform completion

In this paper, we give a new completion for quasi-uniform spaces which
generalizes the completion theories of Doitchinov [8] and Stoltenberg [20]. The
presented completion theory is very well-behaved and extends the completion
theory of uniform spaces in a natural way. That is, the definition of Cauchy
net and the constructed completion coincide with the classical in the case of
uniform spaces. The main contribution this completion theory makes is the
notion of the cut of nets which generalize the idea of Doitchinov for the
notion of-Cauchy net [1]

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