Categories of Relations and Functional Relations

Romaine Jayewardene and Oswald Wyler
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Romaine Jayewardene: University of Colombo
Oswald Wyler: Carnegie Mellon University

A chapter in Papers in Honour of Bernhard Banaschewski, 2000, pp 279-305 from Springer

Abstract: Abstract We define relations and their composition in a category with (ε, M)-factorization structure, with M consisting of monomorphisms, but ε not restricted to epimorphisms. We obtain an associativity criterion for composition of relations, and we study functional and induced relations. We show that under our assumptions, the categories of relations on functional and induced relations are isomorphic to the category of relations for the given category.

Keywords: subobject; relation; functional relation; map; induced relation.; 18B10; 18A32 (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-2529-3_16

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DOI: 10.1007/978-94-017-2529-3_16

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