Work

Tight upper bound on $d_{GH}(S^1,S^{2k+1})$: GPT's short proof

Year: 2026

Type: preprint

Abstract: We describe GPT-5.6 Sol Pro's short proof that $2\cdot d_{GH}(S^1,S^{2k+1}) \le \tfrac{2πk}{2k+1}$. This is the odd-dimensional case of a tight upper bound by Harrison and Jeffs on the Gromov--Hausdorff distance between the circle and spheres.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.21587

Author: Adams, Henry

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7204212532

Cites: 4

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Related to: 10