| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5778195 | Annals of Pure and Applied Logic | 2017 | 42 Pages |
Abstract
We deduce improvements on the threshold of several categoricity transfers that do not mention frames. For example, the threshold in Shelah's transfer can be improved from â¶â¶(2LS(K))+ to â¶(2LS(K))+ assuming that the AEC is LS(K)-tame. The successor hypothesis can also be removed from Shelah's result by assuming in addition either that the AEC has primes over sets of the form Mâª{a} or (using an unpublished claim of Shelah) that the weak generalized continuum hypothesis holds.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Logic
Authors
Sebastien Vasey,