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From: MLACEY@IUBACS.BITNET (MICHAEL LACEY)
Newsgroups: comp.theory.dynamic-sys
Subject: Cohomologous to a continous function
Message-ID: <9007311539.AA11369@jade.berkeley.edu>
Date: 31 Jul 90 15:19:00 GMT
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Reply-To: MICHAEL LACEY <MLACEY%IUBACS.BITNET@jade.berkeley.edu>
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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