arXiv Open Access 2026

Open Colorings and Baumgartner's Axiom

Lorenzo Notaro
Lihat Sumber

Abstrak

We construct a model of $\mathsf{MA_{\aleph_1}}+\mathsf{OCA}_T$ where Baumgartner's Axiom fails, settling a question of Farah. Moreover, in the same model there is an $\aleph_1$-dense set of reals which is neither reversible nor increasing, answering a question of Marun, Shelah, and Switzer.

Topik & Kata Kunci

Penulis (1)

L

Lorenzo Notaro

Format Sitasi

Notaro, L. (2026). Open Colorings and Baumgartner's Axiom. https://arxiv.org/abs/2601.01166

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2026
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓