Abstract
For an ℵ1-categorical atomic class, we clarify the space of types over the unique model of size ℵ1 . Using these results, we prove that if such a class has a model of size ℶ+1 then it is ω-stable.
| Original language | English |
|---|---|
| Pages (from-to) | 801-823 |
| Number of pages | 23 |
| Journal | Model Theory |
| Volume | 3 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2024 |
Bibliographical note
Publisher Copyright:© 2024 MSP (Mathematical Sciences Publishers).
Keywords
- atomic class
- categoricity
- ω-stable
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