How to invert well-pointed endofunctors
Category Theory
2025-10-03 v1 Algebraic Topology
Representation Theory
Abstract
In this short note we observe that Kelly's transfinite construction of free algebras yields a way to invert well-pointed endofunctors. In enriched settings, this recovers constructions of Keller, Seidel, and Chen-Wang. We also relate this procedure to localisation by spectra and to Heller's stabilisation.
Cite
@article{arxiv.2510.02277,
title = {How to invert well-pointed endofunctors},
author = {Matt Booth},
journal= {arXiv preprint arXiv:2510.02277},
year = {2025}
}
Comments
8 pages, comments welcome!