A cocomplete but not complete abelian category
Jeremy Rickard
TL;DR
This paper constructs an example of a cocomplete abelian category that lacks completeness, highlighting a specific structural property distinction within category theory.
Contribution
It provides the first known example of a cocomplete abelian category that is not complete, clarifying the relationship between these properties.
Findings
Demonstrates existence of a cocomplete but not complete abelian category
Clarifies the distinction between cocompleteness and completeness in abelian categories
Advances understanding of structural properties in category theory
Abstract
An example of a cocomplete abelian category that is not complete is constructed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.