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Spring Topology and Dynamical Systems Conference 2008
March 13-15, 2008
University of Wisconsin Milwaukee and Marquette University
Milwaukee, WI, USA

Organizers
Ric Ancel, Karen Brucks, Craig Guilbault, Chris Hruska, Suzanne Hruska, Boris Okun (UWM); Paul Bankston (Marquette); Lois Kailhofer (Alverno College).

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Pseudo-Menger spaces
by
Mikhail Matveev
George Mason University
Coauthors: Maddalena Bonanzinga (University of Messina, Italy), Filippo Cammaroto (University of Messina, Italy)

A space X is called pseudo-Menger if every second countable continuous image of X is Menger. We characterize this property in terms of small cardinals, continuous pseudometrics, countable covers by co-zero sets, and Cp-spaces (X is pseudo-Menger iff Cp(X) does not contain a copy of the countable fan space Vw). In parallel, we consider the "pseudo"-versons of Hurewicz, Rothberger and other selection principles.

Date received: January 18, 2008

Copyright © 2008 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 # cawk-21.