Category:Geometric transversal theory
Here is a list of articles in the category Geometric transversal theory of the Computing portal that unifies foundations of mathematics and computations using computers.
|Geometric transversal theory is included in the JEL classification codes as JEL: C65|
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.
- Chichilnisky, G. (1993). "Intersecting families of sets and the topology of cones in economics". Bulletin of the American Mathematical Society (New Series) 29 (2): 189–207. doi:10.1090/S0273-0979-1993-00439-7. http://www.ams.org/journals/bull/1993-29-02/S0273-0979-1993-00439-7/S0273-0979-1993-00439-7.pdf.
- Danzer, L. (1963), "Helly's theorem and its relatives", Convexity, Proc. Symp. Pure Math., 7, American Mathematical Society, pp. 101–179 .
- Eckhoff, J. (1993), "Helly, Radon, and Carathéodory type theorems", Handbook of Convex Geometry, A, B, Amsterdam: North-Holland, pp. 389–448 .