On a Question of Bourgain about Geometric Incidences

DOI10.1017/S0963548308009127zbMath1153.51002arXivmath/0701392OpenAlexW1988754041MaRDI QIDQ3527547

Csaba D. Tóth, József Solymosi

Publication date: 29 September 2008

Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701392

zbMATH Keywords

geometric incidencesKakeya conjecture\(\varepsilon\)-cutting techniquecrossing number techniquegeometric incidence bounds

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) General theory of linear incidence geometry and projective geometries (51A05)

Related Items (3)

On lines, joints, and incidences in three dimensions ⋮ Algebraic methods in discrete analogs of the Kakeya problem ⋮ Incidences in Three Dimensions and Distinct Distances in the Plane

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