Category:Geometric transversal theory

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. Contemporary geometric transversal theory considers also more general sets, which have been studied with algebraic topology.^[1] In the literature of mathematics, "geometric transversal theory" (including "Helly-type theorems") is coded as "52A35" in the Mathematics Subject Classification scheme (MSC2010).^[2]

• Chichilnisky, G. (1993). "Intersecting families of sets and the topology of cones in economics" (PDF). Bulletin of the American Mathematical Society (New Series). 29 (2): 189–207. doi:10.1090/S0273-0979-1993-00439-7. MR1218037. {{cite journal}}: Invalid |ref=harv (help)
• Danzer, L.; Grünbaum, B.; Klee, V. (1963), "Helly's theorem and its relatives", Convexity, 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.

This category corresponds roughly to MSC 52A35 ''52A35 Helly-type theorems and geometric transversal theory''; see 52A35 at MathSciNet and 52A35 at zbMATH.