Norm continuity of quasi-continuous mappings into [formula omitted] and product spaces

Abstract

A compact space X is said to have the NQ property if for every α-favorable space A and every quasi-continuous function φ : A → C p ( X ) , there is a dense G δ subset D of A such that φ is norm continuous at each point of D. We give a game theoretic proof to show that the property NQ is closed under arbitrary product.