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SumTopo 2001, Sixteenth Summer Conference on Topology and its Applications
July 18-21, 2001
City College of CUNY
New York, NY, USA

Organizers
Ralph Kopperman (City College, CUNY), Susan Andima (CW Post College, LIU), Gerald Itzkowitz (Queens College, CUNY), Prabudh Misra (College of Staten Island, CUNY), Shelly Rothman (CW Post College, LIU), Aaron Todd (Baruch College, CUNY)

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Compactifying countable products of discrete spaces
by
Andrzej Szymanski
Slippery Rock University of Pennsylvania

The Cartesian product of countably many copies of a discrete space of cardinality kappa is called the Baire space of weight kappa. We show that the Baire space of countable weight can be compactified in such a way that the remainder is the union of, a priori prescribed, countably many compact spaces each of weight not exceeding omega one. We show that any Baire space of uncountable weight has a compactification such that its remainder is a sigma-discrete space.

Date received: May 16, 2001

Copyright © 2001 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 # cagw-58.