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Erschienen in:
2015 | OriginalPaper | Buchkapitel
6. Extensions of Spaces and Morphisms
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Abstract
The fact that approach spaces generalize at the same time topological and metric spaces implies that we can consider at the same time both a notion of completion and a notion of compactification, especially for uniform approach spaces. Further we also consider a completion for uniform gauge spaces. All these extensions turn out to be epireflections in their respective settings and hence also give rise to natural extensions of morphisms.