Conservative geometric functors via purity
Algebraic Topology
2026-02-17 v1 Category Theory
Representation Theory
Abstract
We establish a criterion for determining when a family of geometric functors is jointly conservative through the lens of purity in compactly generated triangulated categories. We introduce the notion of pure descendability and we apply it to two particular situations involving sequential limits of ring spectra.
Cite
@article{arxiv.2602.14886,
title = {Conservative geometric functors via purity},
author = {Natàlia Castellana and Juan Omar Gómez},
journal= {arXiv preprint arXiv:2602.14886},
year = {2026}
}
Comments
18 pages, comments welcome