A club guessing toolbox I

T Inamdar, A Rinot - Bulletin of Symbolic Logic, 2024 - cambridge.org
Club guessing principles were introduced by Shelah as a weakening of Jensen's diamond.
Most spectacularly, they were used to prove Shelah's. These principles have found many …

On Namba Forcing and Minimal Collapses

M Levine - arxiv preprint arxiv:2408.03487, 2024 - arxiv.org
We build on a 1990 paper of Bukovsky and Coplakova-Hartova. First, we remove the
hypothesis of $\textsf {CH} $ from one of their minimality results. Then, using a measurable …

[PDF][PDF] Applications of Namba forcing to weak partition properties on trees

O Guzmán, M Hrušák, M Lara, J Zapletal - matmor.unam.mx
We answer several questions of Hrušák, Simon and Zindulka regarding weak partition
relations on trees. In particular, we show that the Namba forcing on add (N) and cof (N) does …