4 papers · 1 filter
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…
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…
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…
On disjoint stationary sequences
Maxwell Levine
We answer a question of Krueger by obtaining disjoint stationary sequences on successive cardinals. The main idea is an alternative presentation of a mixed support iteration, using…