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The Spring Topology and Dynamics Conference 2009
March 7-9, 2009
University of Florida
Gainesville, FL, USA

Organizers
Lou Block, Phil Boyland (chair), Beverly Brechner, Sasha Dranishnikov, and Jed Keesling.

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Strong completeness properties in Cp(X)
by
David Lutzer
College of William and Mary
Coauthors: Harold Bennett, Texas Tech University

Let Cp(X) be the set of all continuous, real-valued functions on X, with the topology of pointwise convergence. For non-discrete X, it is possible but somewhat unusual for Cp(X) to have the Baire Category Property (BCP), i.e., the intersection of countably many dense, open subsets is dense. In this talk we discuss the role of completeness properties that are stronger than BCP in Cp(X), e.g., subcompactness, domain representability, Choquet completeness, and pseudo-completeness) and we pose a family of questions.

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Date received: January 19, 2009

Copyright © 2009 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 # caxy-18.