Cofree Objects in The Centralizer and The Center Categories
Category Theory
2016-10-10 v5
Abstract
We study cocompleteness, co-wellpoweredness and generators in the centralizer category of an object or morphism in a monoidal category, and the center or the weak center of a monoidal category. We explicitly give some answers for when colimits, cocompleteness, co-wellpoweredness and generators in these monoidal categories can be inherited from their base monidal categories. Most importantly, we investigate cofree objects of comonoids in these monoidal categories.
Cite
@article{arxiv.1603.02386,
title = {Cofree Objects in The Centralizer and The Center Categories},
author = {Adnan H. Abdulwahid},
journal= {arXiv preprint arXiv:1603.02386},
year = {2016}
}