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Moore Spaces, Semi-Metric Spaces and Continuous Mappings Connected with Them

Published online by Cambridge University Press:  20 November 2018

C. M. Pareek
C. M. Pareek*
Affiliation:
University of Saskatchewan, Regina, Saskatchewan
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In [1] Arhangel'skiĭ announced that any σ-paracompact p-space could be mapped onto a Moore space by a perfect map. However Burke [3] recently showed that this is not true in general and he gave an example of a T2, locally compact, σ-paracompact space which cannot be mapped onto a Moore space by a perfect map.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 24 , Issue 6 , December 1972 , pp. 1033 - 1042
Copyright
Copyright © Canadian Mathematical Society 1972

References

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