Hausdorff dimension of unions of k‐planes

Mathematika 2026 Open access

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Authors: Shengwen Gan
DOI: 10.1112/mtk.70071
Cited by: 1
References: 6

Abstract

Abstract We prove a conjecture of R. Oberlin and Héra on the dimension of unions of ‐planes. Let be integers, and . If , with , then . The proof combines a recent idea of Zahl and the Brascamp–Lieb inequality.

Fields of Study & Subjects

Limits and Structures in Graph Theory Advanced Banach Space Theory Advanced Topology and Set Theory

Publication details

Journal / source
Mathematika
Publisher
Wiley
Volume
72
Issue
1
Publication date
1 January 2026
Language
EN