A tight estimate for the waist of the ball
Arseniy Akopyan, Roman Karasev
TL;DR
This paper provides a precise estimate for the waist of the unit ball, addressing a question posed by M. Gromov, and advances understanding of geometric measure theory.
Contribution
It offers a tight estimate for the waist of the unit ball, resolving a longstanding open problem in geometric analysis.
Findings
Established a precise bound for the waist of the unit ball
Resolved Gromov's question on the waist of the ball
Contributed to the theory of geometric measure and topology
Abstract
We answer a question of M. Gromov on the waist of the unit ball.
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