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ArticleOriginal scientific text

Title

On the multiplicity function of ergodic group extensions of rotations

Authors 1, 2, 2, 3

Affiliations

  1. Mathematics Department, Towson State University, Towson, Maryland 21204-7097, U.S.A.
  2. Institute of Mathematics, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland
  3. Université de Provence, Unité de Recherche Associée CNRS No. 225, Case 96, 3 Place Victor Hugo, 13331 Marseille Cedex 3, France

Abstract

For an arbitrary set A ⊆ ℕ satisfying 1 ∈ A and lcm(m₁,m₂) ∈ A whenever m₁,m₂ ∈ A, an ergodic abelian group extension of a rotation for which the range of the multiplicity function equals A is constructed.

Bibliography

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Studia Mathematica
1992/102/2
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Pages:
157-174
Main language of publication
English
Received
1991-08-08
Published
1992
Exact and natural sciences