Separoids, Their Categories and a Hadwiger-Type Theorem for Transversals

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 which we call a separoid. With these combinatorial objects and the topological notion of virtual transversal we prove a Borsuk

• Type: Journal
• Year: 2002
• Where: DCG
• Authors: Jorge L. Arocha, Javier Bracho, Luis Montejano, D. Oliveros, Ricardo Strausz
• Keywords: Combinatorial Structure, DCG 2002, Grassmanian Manifold, Topology