$\mathrm{Mot}^{\mathrm{loc}}$ is not compactly generated

Maxime Ramzi

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arXiv · 2608.10681

$\mathrm{Mot}^{\mathrm{loc}}$ is not compactly generated

Maxime Ramzi

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Abstract

We prove that the $\infty$-category of localizing motives in the sense of Blumberg--Gepner--Tabuada is not compactly generated, extending a result of Efimov.

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Maxime Ramzi. 2026-08-11. $\mathrm{Mot}^{\mathrm{loc}}$ is not compactly generated. https://arxiv.org/abs/2608.10681

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