Representation of Relations by Partial Maps

被引：0
|
作者：
Xiaomin Dong
Walter Tholen
机构：
[1] York University,Department of Mathematics and Statistics
[2] York University,Department of Mathematics and Statistics
来源：
Applied Categorical Structures | 2000年 / 8卷
关键词：
partial map; relation; pierced power object; element relation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：339 / 350
页数：11
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