@UNPUBLISHED{publication1, title = "Cartesian closed exact completions in topology", author = "{CLEMENTINO, Maria Manuel} and {HOFMANN, Dirk} and {RIBEIRO, Willian}", year = "2018-11-09", abstract = "Using generalized enriched categories, in this paper we show that Rosick\ý'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. ", url = "http://www.mat.uc.pt/preprints/eng\_2018.html", note = "" }