arXiv:2610.36766 · v1

On surfaces, that fill the space

首次提交 2026-10-27 15:24

版本更新 2026-10-27 15:24

雷达观测 2026-10-29 00:35

摘要

The article is devoted to the construction of dimension-raising maps of cubes with the highest possible Holder exponent. In particular, a square-to-cube mapping with a Holder exponent of $2/3$ is constructed, which is a solution to the V.I.Arnold problem.

作者备注：36 pages, 5 figures