Topological *-autonomous categories, revisited
Category Theory
2016-09-15 v1
Abstract
Given an additive equational category with a closed symmetric monoidal structure and a potential dualizing object, we find sufficient conditions that the category of topological objects over that category has a good notion of full subcategories of strong and weakly topologized objects and show that each is equivalent to the chu category of the original category with respect to the dualizing object.
Cite
@article{arxiv.1609.04241,
title = {Topological *-autonomous categories, revisited},
author = {Michael Barr},
journal= {arXiv preprint arXiv:1609.04241},
year = {2016}
}
Comments
This is a complete rewrite, with some addtional results, of an earlier paper, Topological *-autonomous categories, TAC, 16 (2006), 700-708, that corrects badly flawed proofs and serious omissions