ON ASYMPTOTIC DENSITY AND UNIFORMLY DISTRIBUTED SEQUENCES

Authors
FRANKIEWICZ R PLEBANEK G
Citation
R. Frankiewicz et G. Plebanek, ON ASYMPTOTIC DENSITY AND UNIFORMLY DISTRIBUTED SEQUENCES, Studia Mathematica, 119(1), 1996, pp. 17-26
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Studia Mathematica → ACNP
ISSN journal
00393223
Volume
119
Issue
1
Year of publication
1996
Pages
17 - 26
Database
ISI
SICI code
0039-3223(1996)119:1<17:OADAUD>2.0.ZU;2-5
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 dis tributed sequence. This answers a problem posed by Mercourakis [10]. O ur proof is based on an auxiliary result concerning finitely additive measures on omega and asymptotic density.