Stability, Finiteness and Dimension Four

Curtis Pro; Frederick Wilhelm

Stability, Finiteness and Dimension Four

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 2006.02450 v1 pith:PTIDC4MZ submitted 2020-06-03 math.DG

Curtis Pro , Frederick Wilhelm This is my paper · ORCID

classification math.DG

keywords closedcurvaturediameterdiffeomorphismdimensionfinitelyfinitenessfour

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

abstract

We prove that for any $k\in \mathbb{R},$ $v>0,$ and $D>0$ there are only finitely many diffeomorphism types of closed Riemannian $4$-manifolds with sectional curvature $\geq k,$ volume $\geq v,$ and diameter $\leq D.$

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

Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function
math.MG 2025-07 conditional novelty 7.0 of 10

If a compact ANR is a Gromov-Hausdorff limit of closed n-manifolds with bounded contractibility functions, then it is an open cell-like image of each sufficiently close approximating manifold, resolving Moore's conjec...

Pith tools