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Category:Geometric transversal theory

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Main article: Helly's theorem
See also: Carathéodory's theorem (convex hull)

In mathematics, geometrical transversal theory is a subfield of convex and discrete geometry that studies the intersections of classes of sets. Classical geometrical transversal theory studies the class of convex sets. In the literature of mathematics, "geometric transversal theory" (including "Helly-type theorems") is coded as "52A35" in the Mathematics Subject Classification scheme (MSC2010).[1]

References

  1. ^ "52A35 Helly-type theorems and geometric transversal theory". 2 November 2010.
  • Danzer, L.; Grünbaum, B.; Klee, V. (1963), "Helly's theorem and its relatives", Convexity (PDF), Proc. Symp. Pure Math., vol. 7, American Mathematical Society, pp. 101–179.
  • Eckhoff, J. (1993), "Helly, Radon, and Carathéodory type theorems", Handbook of Convex Geometry, vol. A, B, Amsterdam: North-Holland, pp. 389–448.

Pages in category "Geometric transversal theory"

The following 5 pages are in this category, out of 5 total. This list may not reflect recent changes.

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