[comp.theory.dynamic-sys] COHOMOLOGOUS TO CONTINUOUS FUNCTIONS ?

MLACEY@IUBACS.BITNET (MICHAEL LACEY) (07/21/90)

    I have a question about cofactors:  Could the following be true?
If a dynamical system is compact, metric and the map T is continous, is every
function f in L(2)   (or L(p) for p bigger than 1)  cohomolgous to a
continous function?
    My own training is in probability theory, and my reading in the relevant
literature seems to suggest the the result above is a "folk theorem"  Can any on
e provide me with a reference?  Is the result known in special cases, like
irrational rotations?

Michael Lacey     mlacey@iubacs
Dept of math
Indiana University
Bloomington IN 47405