Definable Coherent Ultrapowers and Elementary Extensions
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2016
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911631007547392 |
|---|---|
| author | Boney, Will |
| author_facet | Boney, Will |
| contents | We develop the notion of coherent ultrafilters (extenders without normality or well-foundedness). We then use definable coherent ultraproducts to characterize any extension of a model $M$ in any fragment of $\mathbb{L}_{\infty, ω}$ that defines Skolem functions by a sufficiently complete (but in $ZFC$) coherent ultrafilter. We apply this method to various elementary classes and AECs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1609_02970 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Definable Coherent Ultrapowers and Elementary Extensions Boney, Will Logic We develop the notion of coherent ultrafilters (extenders without normality or well-foundedness). We then use definable coherent ultraproducts to characterize any extension of a model $M$ in any fragment of $\mathbb{L}_{\infty, ω}$ that defines Skolem functions by a sufficiently complete (but in $ZFC$) coherent ultrafilter. We apply this method to various elementary classes and AECs. |
| title | Definable Coherent Ultrapowers and Elementary Extensions |
| topic | Logic |
| url | https://arxiv.org/abs/1609.02970 |