Representation of Relations by Partial Maps

Xiaomin Dong () and Walter Tholen ()
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Xiaomin Dong: York University, Department of Mathematics and Statistics
Walter Tholen: York University, Department of Mathematics and Statistics

A chapter in Papers in Honour of Bernhard Banaschewski, 2000, pp 339-350 from Springer

Abstract: Abstract With the notions of partial morphism and relation to be understood with respect to a class M of monomorphisms in a finitely complete category C, we give sufficient conditions for the graph functor Par(C) → Rel(C) to admit a right adjoint. Only under an additional condition is this right adjoint given by the naturally constructed ‘pierced power objects’.

Keywords: partial map; relation; pierced power object; element relation.; partial map; 18B10; 18B25; 18A30 (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_20

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DOI: 10.1007/978-94-017-2529-3_20

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