<Reference List> | |
Type: | Preprint |
National /International: | International |
Title: | Cartesian closed exact completions in topology |
Publication Date: | 2018-11-09 |
Authors: |
- Maria Manuel Clementino
- Dirk Hofmann - Willian Ribeiro Valencia da Silva |
Abstract: | Using generalized enriched categories, in this paper we show that Rosický's proof of cartesian closedness of the exact completion of the category of topological spaces can be extended to a wide range of topological categories over Set, like metric spaces, approach spaces, ultrametric spaces, probabilistic metric spaces, and bitopological spaces. In order to do so we prove a sufficient criterion for exponentiability of (T,V)-categories and show that, under suitable conditions, every (T,V)-injective category is exponentiable in (T,V)-Cat. |
Institution: | DMUC 18-46 |
Online version: | http://www.mat.uc.pt...prints/eng_2018.html |
Download: | Not available |