ArticleOriginal scientific text
Title
On asymptotic density and uniformly distributed sequences
Authors 1, 2
Affiliations
- Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland
- Institute of Mathematics, University of Wrocław, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
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.
Bibliography
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- S. Mercourakis, Some remarks on countably determined measures and uniform distribution of sequences, to appear.
Pages:
17-26
Main language of publication
English
Received
1995-04-27
Accepted
1996-02-16
Published
1996
Exact and natural sciences