Extending set functors to generalised metric spaces

For a commutative quantale $\mathcal{V}$, the category $\mathcal{V}-cat$ can be perceived as a category of generalised metric spaces and non-expanding maps. We show that any type constructor $T$ (formalised as an endofunctor on sets) can be extended in a canonical way to a type constructor $T_{\math...

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Bibliographic Details
Main Authors: Adriana Balan, Alexander Kurz, Jiří Velebil
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2019-01-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/4959/pdf