COUNTING SIBLINGS IN UNIVERSAL THEORIES
| Autor: | SAMUEL BRAUNFELD, MICHAEL C. LASKOWSKI |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | The Journal of Symbolic Logic. 87:1130-1155 |
| ISSN: | 1943-5886 0022-4812 |
| DOI: | 10.1017/jsl.2022.3 |
| Popis: | We show that if a countable structure $M$ in a finite relational language is not cellular, then there is an age-preserving $N \supseteq M$ such that $2^{\aleph_0}$ many structures are bi-embeddable with $N$. The proof proceeds by a case division based on mutual algebraicity. Comment: 26 pages; v3 to appear in Journal of Symbolic Logic |
| Databáze: | OpenAIRE |
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