arXiv Open Access 2022

MA$_{ω_1}(S)[S]$ does not imply $\mathcal{K}_2$

Yinhe Peng Liuzhen Wu

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Abstrak

We construct a model in which MA$_{ω_1}$(S)[S] holds and $\mathcal{K}_2$ fails. This shows that MA$_{ω_1}$(S)[S] does not imply $\mathcal{K}_2$ and answers an old question of Larson and Todorcevic in [3]. We also investigate different strong colorings in models of MA$_{ω_1}$(S)[S].

Topik & Kata Kunci

math.LO

Penulis (2)

Yinhe Peng

Liuzhen Wu

Format Sitasi

APA MLA BibTeX

Peng, Y., Wu, L. (2022). MA$_{ω_1}(S)[S]$ does not imply $\mathcal{K}_2$. https://arxiv.org/abs/2208.14896

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓