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Paracompactness in Small Products

Published online by Cambridge University Press:  20 November 2018

S. Willard
S. Willard*
Affiliation:
University of Alberta, Edmonton, Alberta
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All spaces in this note are regular, Hausdorff topological spaces.

At the topology conference in Pullman, Washington, in March 1970, E. Michael posed the following question: if X is Lindelôf Y is separable and metrizable and I × Y is paracompact, must X × Y be Lindelöf?

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 1 , January 1971 , pp. 127
Copyright
Copyright © Canadian Mathematical Society 1971

References

1. Michael, E., A note on paracompact spaces, Proc. Amer. Math. Soc. 4 (1953), 831-838.Google Scholar