A large plane set intersecting lines in infinitely many directions in at most one point

DOI10.1090/proc/15341zbMath1460.28004OpenAlexW3101530559MaRDI QIDQ5150182

Vladimir Eiderman, Michael J. Larsen

Publication date: 10 February 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15341

zbMATH Keywords

Hausdorff dimensionexceptional set of directionsfamily of functions of cardinal continuum

Mathematics Subject Classification ID

Hausdorff and packing measures (28A78)

Cites Work

• Slicing sets and measures, and the dimension of exceptional parameters
• Hausdorff dimension, intersections of projections and exceptional plane sections
• Hausdorff Dimension, Projections, Intersections, and Besicovitch Sets
• Hausdorff dimension, orthogonal projections and intersections with planes
• On the Hausdorff Dimension of Graphs of Prevalent Continuous Functions on Compact Sets
• Fourier Analysis and Hausdorff Dimension
• Exceptional set estimates for the Hausdorff dimension of intersections
• On Hausdorff Measure in Finite-Dimensional Compact Metric Spaces
• Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions
• A \(1\)-dimensional subset of the reals that intersects each of its translates in at most a single point

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