5 Mar
2002
5 Mar
'02
5:56 a.m.
Robert Dawson, Robert Paré, and Dorette Pronk have posted a preprint of their recently-completed paper "Adjoining Adjoints" on the web page http://cs.stmarys.ca/~dawson/papers.html Abstract: 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. -Robert Dawson