Topological and Metric Approach Spaces

Part of the Springer Monographs in Mathematics book series (SMM)


Both topological and metric spaces can be viewed as special types of approach spaces. More precisely, both the categories of topological spaces and continuous maps, and of (quasi)-metric spaces and nonexpansive maps, can be embedded as full and isomorphism-closed subcategories of the category of approach spaces, the former as a stable (i.e. simultaneously concretely reflective and concretely coreflective) subcategory and the latter as a concretely coreflective subcategory.


Topological Space Initial Structure Approach Space Topological Category Full Embedding 
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Copyright information

© Springer-Verlag London 2015

Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceUniversity of AntwerpAntwerpBelgium

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