On the Dundas-Goodwillie-McCarthy theorem

Sam Raskin

On the Dundas-Goodwillie-McCarthy theorem

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1807.06709 v1 pith:TXS6UDPS submitted 2018-07-17 math.AT math.KT

Sam Raskin This is my paper · ORCID

classification math.ATmath.KT

keywords dundas-goodwillie-mccarthytheoremcyclicextensionsgivehomologyidentifyingk-theory

verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments

read the original abstract

We give a modern presentation of the Dundas-Goodwillie-McCarthy theorem identifying relative K-theory and topological cyclic homology for nilpotent ring extensions.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

$\mathrm{Mot}^{\mathrm{loc}}$ is not compactly generated
math.KT 2026-08 conditional novelty 6.0 of 10

For any connective E2-ring R with R_Q ≠ 0, the ∞-category of R-linear localizing motives is not compactly generated.

Pith tools