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Non-Degenerate Spheres in Three Dimensions

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Publication:5199504
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DOI10.1017/S0963548311000010zbMath1222.52023OpenAlexW2128377460MaRDI QIDQ5199504

Roel Apfelbaum, Micha Sharir

Publication date: 16 August 2011

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

Full work available at URL: https://doi.org/10.1017/s0963548311000010

zbMATH Keywords

non-degenerate spheresnon-degenerate hyperplane


Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)


Related Items

Sphere tangencies, line incidences and Lie’s line-sphere correspondence, Nondegenerate spheres in four dimensions, Improved Bounds for Incidences Between Points and Circles



Cites Work

  • Combinatorial complexity bounds for arrangements of curves and spheres
  • Near optimal bounds for the Erdős distinct distances problem in high dimensions
  • Incidences between points and circles in three and higher dimensions
  • Cutting circles into pseudo-segments and improved bounds for incidences
  • Intersection reverse sequences and geometric applications.
  • Distinct Distances in Three and Higher Dimensions
  • Lenses in arrangements of pseudo-circles and their applications
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