Fragments of Martin's axiom
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914112002326528 |
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| author | Peng, Yinhe |
| author_facet | Peng, Yinhe |
| contents | We show that Martin's axiom for $ω_1$ dense sets is equivalent to its fragment asserting that every ccc poset has the Knaster property K$_3$. On the other hand, we show that the dimension 3 in K$_3$ is in some sense minimal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_21496 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fragments of Martin's axiom Peng, Yinhe Logic 03E50, 03E65 We show that Martin's axiom for $ω_1$ dense sets is equivalent to its fragment asserting that every ccc poset has the Knaster property K$_3$. On the other hand, we show that the dimension 3 in K$_3$ is in some sense minimal. |
| title | Fragments of Martin's axiom |
| topic | Logic 03E50, 03E65 |
| url | https://arxiv.org/abs/2510.21496 |