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From: MLACEY@IUBACS.BITNET (MICHAEL LACEY)
Newsgroups: comp.theory.dynamic-sys
Subject: COHOMOLOGOUS TO CONTINUOUS FUNCTIONS ?
Message-ID: <9007212217.AA02902@jade.berkeley.edu>
Date: 20 Jul 90 17:26:00 GMT
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Reply-To: MICHAEL LACEY <MLACEY%IUBACS.BITNET@jade.berkeley.edu>
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    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