On the existence of uniformly distributed sequences in compact topological spaces. I-Reference-Cited by-同舟云学术

On the existence of uniformly distributed sequences in compact topological spaces. I

Published:1978 Issue:0 Volume:246 Page:463-471
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Losert V.

Abstract

We prove the existence of uniformly distributed sequences for an arbitrary probability measure on a separable dyadic space, e.g. on a separable compact topological group. Some counterexamples for the nonexistence of u.d. sequences in certain dense subsets are given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1978-246-00/S0002-9947-1978-0515552-3/S0002-9947-1978-0515552-3.pdf

Reference12 articles.

1. Uniformly distributed sequences in locally compact groups. I, II;Benzinger, Leonora;Trans. Amer. Math. Soc.,1974

2. Remarks on dyadic spaces. II;Efimov, B.;Colloq. Math.,1964

3. Remarks on dyadic spaces;Engelking, R.;Colloq. Math.,1963

4. Relative Gleichverteilung in lokalkompakten Räumen;Gerl, Peter;Math. Z.,1971

5. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences];Hewitt, Edwin,1979

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