Proxy-small objects present compactly generated categories
Category Theory
2024-12-19 v2 K-Theory and Homology
Abstract
We develop a correspondence between presentations of compactly generated triangulated categories as localizations of derived categories of ring spectra and proxy-small objects, and explore some consequences. In addition, we give a characterization of proxy-smallness in terms of coproduct preservation of the associated corepresentable functor `up to base change'.
Cite
@article{arxiv.2411.07328,
title = {Proxy-small objects present compactly generated categories},
author = {Benjamin Briggs and Srikanth B. Iyengar and Greg Stevenson},
journal= {arXiv preprint arXiv:2411.07328},
year = {2024}
}
Comments
17 pages; minor changes and additions