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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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Homogeneous spaces and transitive actions by Polish groups
by
Jan van Mill
Vrije Universiteit (Amsterdam)

We construct an example of a homogeneous Polish space on which no separable metrizable topological group acts transitively. We also prove that for every homogeneous and strongly locally homogeneous Polish space X there is a Polish group admitting a transitive action on X.

Date received: February 22, 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 # caqs-67.