On asymptotic density and uniformly distributed sequences
Volume 119 / 1996
Studia Mathematica 119 (1996), 17-26
DOI: 10.4064/sm-119-1-17-26
Abstract
Assuming Martin's axiom we show that if X is a dyadic space of weight at most continuum then every Radon measure on X admits a uniformly distributed sequence. This answers a problem posed by Mercourakis [10]. Our proof is based on an auxiliary result concerning finitely additive measures on ω and asymptotic density.
