Resumen de Flat transversals to flats and convex sets of a fixed dimension
J. L. Arocha, J. Bracho, L. Montejano
Helly and Hadwiger type theorems for transversal m-flats to families of flats and, respectively, convex sets of dimension n are proved in the case of general position. The proofs rely on Helly type theorems for ¿linear partitions¿ and ¿convex partitions,¿ so that a general theory of Helly numbers is also developed.
