3 papers
math.LO2026
On Determinacy for Cut and Choose Games of Uncountable Length
Maxwell Levine
We obtain results on cut and choose games for complete Boolean algebras. Zapletal proved that there is a Boolean algebra such that $\mathcal{G}_Ï^\textsf{candc}(\math…
math.LO2026
Some questions on entangled linear orders
Raphaël Carroy, Maxwell Levine, Lorenzo Notaro
Entangled linear orders were first introduced by Abraham and Shelah. TodorÄeviÄ showed that these linear orders exist under . We prove the following results: (1) If…
math.LO2026
Unthreadability with Small Conditions
Maxwell Levine
We introduce a forcing that adds a -sequence with countable conditions under CH. Assuming the consistency of a weakly compact cardinal, we can find a fo…