Fodor space in generalized descriptive set theory
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914595970482176 |
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| author | Feldman, Ido Moreno, Miguel |
| author_facet | Feldman, Ido Moreno, Miguel |
| contents | We study the continuous reducibility of isomorphism relations in the space of regresive functions in $κ^κ$. We show for inaccessible $κ$, that if $\mathcal{T}$ is a theory with less than $κ$ non-isomorphic models of size $κ$ and $\mathcal T'$ is unstable or superstable non-classifiable, then the isomorphism of models of $\mathcal{T}$ is continuous reducible to the isomorphism of models of $\mathcal{T}'$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_09510 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fodor space in generalized descriptive set theory Feldman, Ido Moreno, Miguel Logic We study the continuous reducibility of isomorphism relations in the space of regresive functions in $κ^κ$. We show for inaccessible $κ$, that if $\mathcal{T}$ is a theory with less than $κ$ non-isomorphic models of size $κ$ and $\mathcal T'$ is unstable or superstable non-classifiable, then the isomorphism of models of $\mathcal{T}$ is continuous reducible to the isomorphism of models of $\mathcal{T}'$. |
| title | Fodor space in generalized descriptive set theory |
| topic | Logic |
| url | https://arxiv.org/abs/2603.09510 |