A counterexample to metric-entropy duality
What the paper claims, in its own words
Disproves Pietsch's dimension-free duality conjecture for metric entropy. Origin-symmetric convex bodies violate every proposed choice of universal constants in the conjectured comparison between covering numbers and those of the polar bodies, even when the covering body is a cube.
The plain-language explainer for this entry is still coming.
The original paper
- Counterexamples to the duality conjecture for metric entropy (PDF, opens in a new tab) September 24, 2026 Formal proof listed