These lecture notes cover several topics such as Topological Space, Metric Space, Convex Sets, Correspondences, Maximum Theorem, KKM Theorem, Existence of Maximal Element, Selectio...
In this paper we study the topology of transversals to a family of convex sets as a subset of a Grassmanian manifold. This topology seems to be ruled by a combinatorial structure w...
Jorge L. Arocha, Javier Bracho, Luis Montejano, D....
Abstract. We study hierachical segmentation in the framework of edgeweighted graphs. We define ultrametric watersheds as topological watersheds null on the minima. We prove that th...
We extend to topological affine planes the standard theorems of convexity, among them the separation theorem, the anti-exchange theorem, Radon’s, Helly’s, Carath´eodory’s,...
Raghavan Dhandapani, Jacob E. Goodman, Andreas Hol...