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.
First published in Proceedings of the American Mathematical Society in 1996, published by the American Mathematical Society
Baggett, L. W., Medina, H.A., Merrill, K.D On Functions That Are Trivial Cocycles for a Set of Irrationals .2., Proceedings of the American Mathematical Society. vol. 124 (1996) pp. 89-93.