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arXiv · 2412.21057

The rectifiable rectangular peg problem

Tomohiro Asano·Yuichi Ike
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Abstract

We give an affirmative answer to the rectangular peg problem for a large class of continuous Jordan curves that contains all rectifiable curves and Stromquist's locally monotone curves. Our proof is based on microlocal sheaf theory and inspired by recent work of Greene and Lobb.

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Tomohiro Asano, Yuichi Ike. 2024-12-30. The rectifiable rectangular peg problem. https://arxiv.org/abs/2412.21057

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