Proxy-small objects present compactly generated categories
arXiv:2411.07328
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'.
17 pages; minor changes and additions