Geodesic
On asymptotic density and uniformly distributed sequences
Studia Mathematica, Tome 119 (1996) no. 1, pp. 17-26 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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. 
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Ryszard Frankiewicz;  . On asymptotic density and uniformly distributed sequences. Studia Mathematica, Tome 119 (1996) no. 1, pp. 17-26. doi: 10.4064/sm-119-1-17-26

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