Cichoń's maximum with evasion number
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918077253287936 |
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| author | Yamazoe, Takashi |
| author_facet | Yamazoe, Takashi |
| contents | We show that the evasion number $\mathfrak{e}$ can be added to Cichoń's maximum with a distinct value. More specifically, it is consistent that $\aleph_1<\mathrm{add}(\mathcal{N})<\mathrm{cov}(\mathcal{N})<\mathfrak{b}<\mathfrak{e}<\mathrm{non}(\mathcal{M})<\mathrm{cov}(\mathcal{M})<\mathfrak{d}<\mathrm{non}(\mathcal{N})<\mathrm{cof}(\mathcal{N})<2^{\aleph_0}$ holds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14600 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cichoń's maximum with evasion number Yamazoe, Takashi Logic 03E17, 03E35 We show that the evasion number $\mathfrak{e}$ can be added to Cichoń's maximum with a distinct value. More specifically, it is consistent that $\aleph_1<\mathrm{add}(\mathcal{N})<\mathrm{cov}(\mathcal{N})<\mathfrak{b}<\mathfrak{e}<\mathrm{non}(\mathcal{M})<\mathrm{cov}(\mathcal{M})<\mathfrak{d}<\mathrm{non}(\mathcal{N})<\mathrm{cof}(\mathcal{N})<2^{\aleph_0}$ holds. |
| title | Cichoń's maximum with evasion number |
| topic | Logic 03E17, 03E35 |
| url | https://arxiv.org/abs/2401.14600 |