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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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An L space with a d-separable square
by
Justin Tatch Moore
Cornell University

Tkachuk asked whether there is a ZFC example of a T3 space with the property that it does not have a s-discrete dense subset but whose Cartesian square does. I will show that my construction of a hereditarily Lindelöf, non separable space has a s-discrete dense set in its square and hence provides a positive answer. In fact the space in question has the property that any subset of its square which does not have uncountable horizonal or vertical sections is s-discrete.

Date received: February 26, 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-77.