A Universe with large Continuum, global $Σ$-Uniformization and a projective Well-Order of its Reals
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913893831409664 |
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| author | Hoffelner, Stefan |
| author_facet | Hoffelner, Stefan |
| contents | We construct a model in which the continuum has size $κ$ for a regular cardinal $κ$ and in which the $Σ^1_n$-uniformization property holds simultaneously for every $n \ge 2$. Additionally this model has a $Δ^1_3$- definable well-order of its reals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12393 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Universe with large Continuum, global $Σ$-Uniformization and a projective Well-Order of its Reals Hoffelner, Stefan Logic We construct a model in which the continuum has size $κ$ for a regular cardinal $κ$ and in which the $Σ^1_n$-uniformization property holds simultaneously for every $n \ge 2$. Additionally this model has a $Δ^1_3$- definable well-order of its reals. |
| title | A Universe with large Continuum, global $Σ$-Uniformization and a projective Well-Order of its Reals |
| topic | Logic |
| url | https://arxiv.org/abs/2506.12393 |