Topology Proceedings
Document # baak-24
Electronic Version 24 Summer (1999) |
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Some new results on Cech-complete spaces
Miguel López De luna
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\omega is a finite union of Cech-complete subspaces. In case of finite products, we describe a model of ZFC with a non- Cech-complete space X such that Xn is the union of two Cech-complete subspaces for each n \in \omega.
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Topology Proceedings Electronic Version
Copyright © 2001
Nipissing University
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Date published electronically: March 5, 2001.