Mathias forcing which does not add dominating reals-Reference-Cited by-同舟云学术

Mathias forcing which does not add dominating reals

Published:1988 Issue:4 Volume:104 Page:1239-1248
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Canjar R. Michael

Abstract

Assume that there is no dominating family of reals of cardinality > c > c . We show that there then exists an ultrafilter on the set of natural numbers such that its associated Mathias forcing does not adjoin any real which dominates all ground model reals. Such ultrafilters are necessarily P P -points with no Q Q -points below them in the Rudin-Keisler order.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1988-104-04/S0002-9939-1988-0969054-2/S0002-9939-1988-0969054-2.pdf

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