When does $\aleph_1$-categoricity imply $ω$-stability?
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913466163396608 |
|---|---|
| author | Baldwin, John T. Laskowski, M. C. Shelah, Saharon |
| author_facet | Baldwin, John T. Laskowski, M. C. Shelah, Saharon |
| contents | For an $\aleph_1$-categorical atomic class, we clarify the space of types over the unique model of size $\aleph_1$. Using these results, we prove that if such a class has a model of size $\beth_1^+$ then it is $ω$-stable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_13942 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | When does $\aleph_1$-categoricity imply $ω$-stability? Baldwin, John T. Laskowski, M. C. Shelah, Saharon Logic 03C45 For an $\aleph_1$-categorical atomic class, we clarify the space of types over the unique model of size $\aleph_1$. Using these results, we prove that if such a class has a model of size $\beth_1^+$ then it is $ω$-stable. |
| title | When does $\aleph_1$-categoricity imply $ω$-stability? |
| topic | Logic 03C45 |
| url | https://arxiv.org/abs/2308.13942 |