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1999 Summer Conference on Topology and its Applications
August 4-7, 1999
C.W. Post Campus of Long Island University
Brookville, NY, USA

Organizers
Sheldon Rothman, Ralph Kopperman

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On additivity and some other properties of Cech-completeness
by
Miguel Lopez de Luna
Universidad Autonama Metropolitana, Mexico City

We prove that every topological group which is a finite union of Cech-complete spaces, is Cech-complete. We also show that X is Cech-complete if the product X\sp\omega is a finite union of Cech-complete subspaces. In the case of finite products, we describe a model of ZFC with a non-Cech-complete space X such that X\sp n is the union of two Cech-complete subspaces for each n in \omega. We establish that if X has a locally finite cover of open Cech-complete subspaces, then X is Cech-complete.

Date received: August 20, 1999

Copyright © 1999 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 # cadp-06.