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Nonexistence of universal paracompact M-spaces

Part of: Spaces with richer structures Generalities

Published online by Cambridge University Press:  09 April 2009

Akio Kato
Akio Kato
Affiliation:
Department of MathematicsNational Defence AcademyYokosuka, Japan
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Abstract

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For a cardinal m with ω ≤ m ≤ 2≤m is embeddable in it as a closed subspace. We derive this result from the corresponding statement for metric spaces.

MSC classification

Secondary: 54E18: $p$-spaces, $M$-spaces, $sigma$-spaces, etc. 54E35: Metric spaces, metrizability 54A35: Consistency and independence results
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 35 , Issue 2 , October 1983 , pp. 281 - 286
Copyright
Copyright © Australian Mathematical Society 1983

References

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