Two-cardinal ideal operators and indescribability
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866918021698682880 |
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| author | Cody, Brent White, Philip |
| author_facet | Cody, Brent White, Philip |
| contents | A well-known version of Rowbottom's theorem for supercompactness ultrafilters leads naturally to notions of two-cardinal Ramseyness and corresponding normal ideals introduced herein. Generalizing results of Baumgartner [7, 8], Feng [22] and the first author [16, 17], we study the hierarchies associated with a particular version of two-cardinal Ramseyness and a strong version of two-cardinal ineffability, as well as the relationships between these hierarchies and a natural notion of transfinite two-cardinal indescribability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_06170 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Two-cardinal ideal operators and indescribability Cody, Brent White, Philip Logic 03E35, 03E55 A well-known version of Rowbottom's theorem for supercompactness ultrafilters leads naturally to notions of two-cardinal Ramseyness and corresponding normal ideals introduced herein. Generalizing results of Baumgartner [7, 8], Feng [22] and the first author [16, 17], we study the hierarchies associated with a particular version of two-cardinal Ramseyness and a strong version of two-cardinal ineffability, as well as the relationships between these hierarchies and a natural notion of transfinite two-cardinal indescribability. |
| title | Two-cardinal ideal operators and indescribability |
| topic | Logic 03E35, 03E55 |
| url | https://arxiv.org/abs/2206.06170 |