## Document Type

Article

## Publication Date

1-1996

## 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.

## Original Publication Citation

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.

## Publisher Statement

First published in Proceedings of the American Mathematical Society in 1996, published by the American Mathematical Society

## Digital Commons @ LMU & LLS Citation

Baggett, Lawrence W.; Medina, Herbert A.; and Merrill, Kathy D., "On Functions That Are Trivial Cocycles for a Set of Irrationals. II" (1996). *Mathematics, Statistics and Data Science Faculty Works*. 6.

https://digitalcommons.lmu.edu/math_fac/6