Representation of Relations by Partial Maps |
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| Authors: | Xiaomin Dong Walter Tholen |
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| Affiliation: | (1) Department of Mathematics and Statistics, York University, North York, Canada, M3J 1P3 e-mail;(2) Department of Mathematics and Statistics, York University, North York, Canada, M3J 1P3 e-mail |
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| 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". |
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| Keywords: | partial map relation pierced power object element relation |
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