This paper deals with convergence theorems for martingales of strongly measurable Pettis integrable functions. First, a characterization of those martingales which converge in the Pettis norm is ...

A notion of measurability in abelian Polish groups related to Christensen's Haar zero set is studied. It is shown that a measurable homomorphism or a measurable Jensen convex function defined on a ...

New research links soccer heading -- where players hit the ball with their head -- to a measurable decline in the microstructure and function of the brain over a two-year period. New research being ...