For any connective E2-ring R with R_Q ≠ 0, the ∞-category of R-linear localizing motives is not compactly generated.
On the Dundas-Goodwillie-McCarthy theorem
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abstract
We give a modern presentation of the Dundas-Goodwillie-McCarthy theorem identifying relative K-theory and topological cyclic homology for nilpotent ring extensions.
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math.KT 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
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$\mathrm{Mot}^{\mathrm{loc}}$ is not compactly generated
For any connective E2-ring R with R_Q ≠ 0, the ∞-category of R-linear localizing motives is not compactly generated.