An absolute characterisation of locally determined omega-colimits

Abstract

Characterising colimiting omega-cocones of projection pairs in terms of least upper bounds of their embeddings and projections is important to the solution of recursive domain equations. We present a universal characterisation of this local property as omega-cocontinuity of locally continuous functors. We present a straightforward proof using the enriched Yoneda embedding. The proof can be generalised to Cattani and Fiore's notion of locality for adjoint pairs.

arXiv commentTalk proposal for the Domains XI 2014 Workshop, uploaded for archiving purposes