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

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The cardinality of ultrapowers--an example


Author: Andrew Adler
Journal: Proc. Amer. Math. Soc. 28 (1971), 311-312
MSC: Primary 02.68
MathSciNet review: 0280361
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Assume the axiom of measurable cardinals. If $ D$ is an $ \omega $-incomplete uniform ultrafilter on $ I$, and $ A$ is infinite, it is still not necessarily the case that $ {A^I}/D$ has the same cardinality as $ {A^I}$.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 02.68

Retrieve articles in all journals with MSC: 02.68


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1971-0280361-9
PII: S 0002-9939(1971)0280361-9
Keywords: Ultrapower, cardinality, measurable cardinal, regular ultrafilter
Article copyright: © Copyright 1971 American Mathematical Society