A clean counterexample shows a map can be locally diffeomorphic yet globally fold
Algomancer · x · 2026-07-21
The post points to a mathematically clean counterexample: a map can be locally a diffeomorphism, preserve infinitesimal volume and orientation, yet still fold globally.
The author suggests it is a useful setting for studying how complex dynamics can acquire global branching, and notes that it likely matters for practical applications that rely on the map being falsified.
More from Research
- Cognition's SWE-2 uses a KKT duality argument in RL to shift the effort Pareto curve — YouJiacheng · 2026-09-11
- VidMap uses RoMa coarse matching on all frames, fine-scale only for keyframes — ducha_aiki · 2026-09-11
- Bug Hunt Bench author: leaderboard noise is about 2-3 points — PawelHuryn · 2026-09-11
- PNAS paper shows a tiny billiard-ball system is a universal computer — undecidability lives in two dimensions — eigensteve · 2026-09-11
- New paper: Absolute pose estimation from affine cues and gravity direction — ducha_aiki · 2026-09-11
- LoMa Paper Ships REALLY HardPairs Dataset, Accepted at ECCV 2026 — ducha_aiki · 2026-09-11