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Categories of Relations and Functional Relations

In: Papers in Honour of Bernhard Banaschewski

Author

Listed:
  • Romaine Jayewardene

    (University of Colombo)

  • Oswald Wyler

    (Carnegie Mellon University)

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.

Suggested Citation

  • Romaine Jayewardene & Oswald Wyler, 2000. "Categories of Relations and Functional Relations," Springer Books, in: Guillaume Brümmer & Christopher Gilmour (ed.), Papers in Honour of Bernhard Banaschewski, pages 279-305, Springer.
    • Handle: RePEc:spr:sprchp:978-94-017-2529-3_16
    DOI: 10.1007/978-94-017-2529-3_16
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