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Localization of patai's theorem on alephs

Published online by Cambridge University Press:  17 April 2009

Frederick Bagemihl
Frederick Bagemihl
Affiliation:
Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin 53201, USA.
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Abstract

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If μ and γ are ordinal numbers such that for every α ≤ γ·2, then γ < ω. This localizes a result due to Patai.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 25 , Issue 1 , February 1982 , pp. 143 - 145
Copyright
Copyright © Australian Mathematical Society 1982

References

[1]Patai, L., “Untersuchungen üer die Alefreihe”, Math. und naturw. Berichte aus Ungarn 37 (1930), 127–142.Google Scholar