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arXiv · 2602.14886

Conservative geometric functors via purity

Natàlia Castellana·Juan Omar Gómez
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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.

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Natàlia Castellana, Juan Omar Gómez. 2026-02-16. Conservative geometric functors via purity. https://arxiv.org/abs/2602.14886

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