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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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On Cech completeness and ultracompleteness
by
Miguel López de Luna
Coauthors: Vladimir Tkachuk

We prove that if Xn is a union of n subspaces of pointwise countable type then the space X is of pointwise countable type. If the power X\omega is a countable union of ultracomplete spaces, then the space X\omegais ultracomplete. We give, under CH, an example of a Cech-complete countably compact space which is not ultracomplete.

Date received: May 18, 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-67.