Helly's theorem of 1923 opened a large field of inquiry nowdesignatedas geometric transversal theory. A typical concern is thestudy of allk-planes (also called k-flats) that intersect all elements ofa givenfamily of subsets (or objects) in Rd. These are thek-transversals ofthe given family and they define a certain subspace of thecorresponding G...
Goaoc, Xavier (Institut National de Recherche en Informatique Automatique (INRIA)-Lorraine)
University of Minnesota, Institute for Mathematics and its Applications.