MLACEY@IUBACS.BITNET (MICHAEL LACEY) (07/31/90)
Dear one and all: I wnat to thank all those who responded to my earlier question. Several different references were given, so a follow-up seems in orde r. The question is: Given a measure-preserving system where the space X is cohomologous to a continous function, is every f in L^1 cohomologous to a continous fuction? The answer is yes, and an excellent reference is Dan Rudolph, "Z^n and R^n cocycle extensions and compementary Algebras" Erg. Th. Dyn. Sys. Vol 6, 1986, 583-599. -----Michael Lacey