Convex values and Lipschitz behavior of the complete hull mapping

Convex Values and Lipschitz Behavior of the Complete Hull Mapping

This note continues the study initiated in 2006 by P.L. Papini, R. R. Phelps and the author on some classical notions from finite-dimensional convex geometry in spaces of continuous functions. Let H be the family of all closed, convex and bounded subsets of a Banach space endowed with the Hausdorff metric. A completion of A ∈ H is a diametrically maximal set D ∈ H satisfying A ⊂ D and diamA = d...

Quasiconformal Lipschitz Maps, Sullivan's Convex Hull Theorem and Brennan's Conjecture

the effect of vocabulary instruction through semantic mapping on learning and recall of efl learners

چکیده ندارد.

Minimum convex hull mass estimations of complete mounted skeletons.

Body mass is a critical parameter used to constrain biomechanical and physiological traits of organisms. Volumetric methods are becoming more common as techniques for estimating the body masses of fossil vertebrates. However, they are often accused of excessive subjective input when estimating the thickness of missing soft tissue. Here, we demonstrate an alternative approach where a minimum con...

Sumsets and the Convex Hull

We extend Freiman's inequality on the cardinality of the sumset of a d dimensional set. We consider different sets related by an inclusion of their convex hull, and one of them added possibly several times.