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arXiv · 2411.07328

Proxy-small objects present compactly generated categories

Benjamin Briggs·Srikanth B. Iyengar·Greg Stevenson
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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'.

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Benjamin Briggs, Srikanth B. Iyengar, Greg Stevenson. 2024-11-11. Proxy-small objects present compactly generated categories. https://arxiv.org/abs/2411.07328

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