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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Weak partition properties for infinite cardinals. I


Author: E. M. Kleinberg
Journal: Proc. Amer. Math. Soc. 30 (1971), 371-374
MSC: Primary 04.60; Secondary 02.00
MathSciNet review: 0281626
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Abstract: Partition properties are perhaps the most fruitful of the various methods for defining and discussing large cardinals in set theory. In this paper we weaken in a natural way the most well known of these partition properties and examine the extent to which the cardinals defined remain ``large."


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1971-0281626-7
PII: S 0002-9939(1971)0281626-7
Keywords: Partition property, cofinality, strongly inaccessible cardinal, Ramsey cardinal
Article copyright: © Copyright 1971 American Mathematical Society