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

Losert, V.

doi:10.1090/S0002-9947-1978-0515552-3

On the existence of uniformly distributed sequences in compact topological spaces. I
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by V. Losert PDF

Trans. Amer. Math. Soc. 246 (1978), 463-471 Request permission

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.

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