On functions that are trivial cocycles for a set of irrationals. II

Baggett, Lawrence; Medina, Herbert; Merrill, Kathy

doi:10.1090/S0002-9939-96-02990-5

On functions that are trivial cocycles for a set of irrationals. II
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by Lawrence W. Baggett, Herbert A. Medina and Kathy D. Merrill PDF

Proc. Amer. Math. Soc. 124 (1996), 89-93 Request permission

Abstract:

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-$L^1$ cobounding function is constructed.

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