Category:Geometric transversal theory
Nowadays, Category:Geometric transversal theory is a topic of great relevance in today's society. With the advancement of technology and globalization, Category:Geometric transversal theory has become a point of interest for a large number of people. Whether in the professional, personal or academic field, Category:Geometric transversal theory is a topic that has captured the attention of many and which has been debated and discussed on numerous occasions. In this article, we are going to delve deeper into the topic of Category:Geometric transversal theory and explore its implications in different areas of everyday life.
This category corresponds roughly to MSC 52A35 Helly-type theorems and geometric transversal theory; see 52A35 at MathSciNet and 52A35 at zbMATH.
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]
References
- ^ 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. arXiv:math/9310228. Bibcode:1993math.....10228C. doi:10.1090/S0273-0979-1993-00439-7. MR 1218037.
- 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.