The joint modulus of variation of metric space valued functions and pointwise selection principles

Vyacheslav V. Chistyakov, Svetlana A. Chistyakova

Given $T\subset \mathbb{R}$ and a metric space $M$, we introduce a nondecreasing sequence of pseudometrics $\{{\nu }_n\}$ on $M^T$ (the set of all functions from $T$ into $M$), called th…