Hausdorff dimension of unions of affine subspaces and of Furstenberg-type sets

2017/01/09 by Kornélia Héra, Héra, K., T Keleti +3 · 3 citations
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Dynamics and Fractals #Metric Geometry (math.MG) #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1701.02299

openalex publication_date 2017/01/09 · openalex created_date 2019/11/22 · openalex updated_date 2026/07/28

Abstract

We prove that for any 1 ≤ k

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• On the packing dimension of unions and extensions of k-planes
• A continuous analogue of Erdős' k-Sperner theorem

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