Adjoining adjoints

被引:5
|
作者
Dawson, R [1 ]
Paré, R
Pronk, D
机构
[1] St Marys Univ, Dept Math & Comp Sci, Halifax, NS B3H 3C3, Canada
[2] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3H 3J5, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
adjoint; 2-category; localization; Kauffman diagram;
D O I
10.1016/S0001-8708(02)00068-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We construct the 2-category obtained from a category by freely adjoining a right adjoint for each morphism and isolate its universal property. Some others basic properties are also studied. Some examples in which the category is freely generated by a graph are discussed in detail. For these categories, the 2-cells are given a geometric interpretation and shown to be similar to certain diagrams which have appeared in the literature on C*-algebras. (C) 2003 Elsevier Science (USA). All rights reserved.
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页码:99 / 140
页数:42
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