Compactness in abelian categories
Category Theory
2017-06-27 v1 Rings and Algebras
Abstract
We relativize the notion of a compact object in an abelian category with respect to a fixed subclass of objects. We show that the standard closure properties persist to hold in this case. Furthermore, we describe categorical and set-theoretical conditions under which all products of compact objects remain compact.
Cite
@article{arxiv.1706.08395,
title = {Compactness in abelian categories},
author = {Peter Kálnai and Jan Žemlička},
journal= {arXiv preprint arXiv:1706.08395},
year = {2017}
}