On Functions That Are Trivial Cocycles for a Set of Irrationals. II

@inproceedings{Baggett1988OnFT,
  title={On Functions That Are Trivial Cocycles for a Set of Irrationals. II},
  author={Lawrence W. Baggett and Herbert A. Medina and Kathy D. Merrill},
  year={1988}
}
Two results are obtained about the topological size of the set of irrationals for which a given function is a trivial cocycle. An example of a continuous function which is a coboundary with non-L1 cobounding function is constructed. A function v: R/Z R is called an (additive) coboundary for an irrational a if there is a measurable function w: R/Z R such that v(x) = w(x) w(x + a) a.e. (where we parameterize R/Z by the interval [0,1) with addition mod 1). It is called trivial if v(x) c is a… CONTINUE READING

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