Geodesic
Relevant Categories and Partial Functions
Publications de l'Institut Mathématique, _N_S_82 (2007) no. 96, p. 17 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

A relevant category is a symmetric monoidal closed category with a diagonal natural transformation that satisfies some coherence conditions. Every cartesian closed category is a relevant category in this sense. The denomination \emph{relevant} comes from the connection with relevant logic. It is shown that the category of sets with partial functions, which is isomorphic to the category of pointed sets, is a category that is relevant, but not cartesian closed.
Classification : 03B47 03F52 03G30 18D10 18D15
Keywords: symmetric monoidal closed categories, diagonal natural transformation, intuitionistic relevant logic, partial functions, pointed sets 
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     title = {Relevant {Categories} and {Partial} {Functions}},
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Kosta Došen; Zoran Petrić. Relevant Categories and Partial Functions. Publications de l'Institut Mathématique, _N_S_82 (2007) no. 96, p. 17 . http://geodesic.mathdoc.fr/item/PIM_2007_N_S_82_96_a2/