On uniformly distributed sequences of an increasing family of finite sets in infinite-dimensional rectangles (Q416393)

After defining Riemann integrable functions and uniformly distributed sequences in the space \(\mathbb R^\infty\) equipped with the ``Lebesgue measure'' constructed by \textit{R. Baker} in [Proc. Am. Math. Soc. 113, No. 4, 1023--1029 (1991; Zbl 0741.28009)], the author proves the infinite-dimensional analogues of Lebesgue's and Weyl's characterizations of Riemann integrable functions (in \(\mathbb R^n\)).