Regular ultrafilters and finite square principles
| Authors |
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| Publication date | 2008 |
| Journal | Journal of Symbolic Logic |
| Volume | Issue number | 73 | 3 |
| Pages (from-to) | 817-823 |
| Organisations |
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| Abstract | We show that many singular cardinals lambda above a strongly compact cardinal have regular ultrafilters D that violate the finite square principle square(fin)(lambda,D) introduced in [3]. For such ultrafilters D and cardinals lambda there are models of size lambda for which M-lambda/D is not lambda(++)-universal and elementarily equivalent models M and N of size lambda for which M-lambda/D and N-lambda/D are non-isomorphic. The question of the existence of such ultrafilters and models was raised in [1]. |
| Document type | Article |
| Note | © Association for Symbolic Logic 2008 |
| Language | English |
| Published at | https://doi.org/10.2178/jsl/1230396748 |
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