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

 

There are no $ Q$-points in Laver's model for the Borel conjecture


Author: Arnold W. Miller
Journal: Proc. Amer. Math. Soc. 78 (1980), 103-106
MSC: Primary 03E35; Secondary 03E05
MathSciNet review: 548093
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Abstract: It is shown that it is consistent with ZFC that no nonprincipal ultrafilter on $ \omega $ is a Q-point (also called a rare ultrafilter).


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DOI: http://dx.doi.org/10.1090/S0002-9939-1980-0548093-2
PII: S 0002-9939(1980)0548093-2
Article copyright: © Copyright 1980 American Mathematical Society