On unsuperstable theories in GDST
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866910812371681280 |
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| author | Moreno, Miguel |
| author_facet | Moreno, Miguel |
| contents | We study the $κ$-Borel-reducibility of isomorphism relations of complete first order theories by using coloured trees. Under some cardinality assumptions, we show the following: For all theories T and T', if T is classifiable and T' is unsuperstable, then the isomorphism of models of T' is strictly above the isomorphism of models of T with respect to $κ$-Borel-reducibility. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_14292 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On unsuperstable theories in GDST Moreno, Miguel Logic We study the $κ$-Borel-reducibility of isomorphism relations of complete first order theories by using coloured trees. Under some cardinality assumptions, we show the following: For all theories T and T', if T is classifiable and T' is unsuperstable, then the isomorphism of models of T' is strictly above the isomorphism of models of T with respect to $κ$-Borel-reducibility. |
| title | On unsuperstable theories in GDST |
| topic | Logic |
| url | https://arxiv.org/abs/2203.14292 |