On asymptotic density and uniformly distributed sequences
Frankiewicz, Ryszard ; Plebanek, Grzegorz
Studia Mathematica, Tome 119 (1996), p. 17-26 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:216282 
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     year = {1996},
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Frankiewicz, Ryszard; Plebanek, Grzegorz. On asymptotic density and uniformly distributed sequences. Studia Mathematica, Tome 119 (1996) pp. 17-26. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv119i1p17bwm/

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