Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Ultrafilters and independent sets

Author: Kenneth Kunen
Journal: Trans. Amer. Math. Soc. 172 (1972), 299-306
MSC: Primary 02J05; Secondary 02H13
MathSciNet review: 0314619
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Independent families of sets and of functions are used to prove some theorems about ultrafilters. All of our results are well known to be provable from some form of the generalized continuum hypothesis, but had remained open without such an assumption. Independent sets are used to show that the Rudin-Keisler ordering on ultrafilters is nonlinear. Independent functions are used to prove the existence of good ultrafilters.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 02J05, 02H13

Retrieve articles in all journals with MSC: 02J05, 02H13

Additional Information

PII: S 0002-9947(1972)0314619-7
Keywords: Ultrafilter, independent sets, Rudin-Keisler ordering, independent functions, good ultrafilter
Article copyright: © Copyright 1972 American Mathematical Society