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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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Irreducibility of product spaces with finitely many points removed
by
Paul Larson
Ohio University, Athens, Ohio, 45701

We prove an induction step that can be used to show that in certain cases the removal of finitely many points from a product space produces an irreducible space. For example, we show that whenever g is less than ℵw, removing finitely many points from the product of g many first countable compact spaces gives an irreducible space. This result answers questions asked privately by Alexander Arhangel'skii.

Date received: March 2, 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-38.