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Spring Topology and Dynamics Conference 2006
March 23-25, 2006
University of North Carolina at Greensboro
Greensboro, NC, USA

Organizers
Gregory Bell, Alexander Chigogidze, Paul Duvall, Jan Rychtar, Jerry Vaughan

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Homeomorphic product measures on the Cantor space
by
Dan Mauldin
University of North Texas
Coauthors: Randy Dougherty Andy Yingst

For each r in [0, 1] let m(r) be the infinite product measure on the Cantor space obtained from an infinite sequence of Bernoulli trials with probability of success r. The question (going back to Oxtoby) is: Under what conditions on r and s is there a homeomorphism h of the Cantor space such that m(r)(E) = m(s)(h(E)) for all Borel sets E? I will trace some of the history of this problem and describe some of the techniques used to solve the problem.

Date received: March 1, 2006

Copyright © 2006 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cast-37.