2 citations · 3 across the 7 of their papers we have counts for
8 papers
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}_ω^\textsf{candc}(\mathb…
Some questions on entangled linear orders
Raphaël Carroy, Maxwell Levine, Lorenzo Notaro
Entangled linear orders were first introduced by Abraham and Shelah. Todorčević showed that these linear orders exist under . We prove the following results: (1) If $\…
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…
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 compactness of weak square at singulars of uncountable cofinality
Maxwell Levine
Cummings, Foreman, and Magidor proved that Jensen's square principle is non-compact at , meaning that it is consistent that holds for all while…
Distributivity and Minimality in Perfect Tree Forcings for Singular Cardinals
Maxwell Levine, Heike Mildenberger
Dobrinen, Hathaway and Prikry studied a forcing consisting of perfect trees of height and width where is a singular -strong limit of cofinality . T…
Trees and stationary reflection at double successors of regular cardinals
Thomas Gilton, Maxwell Levine, Šárka Stejskalová
We obtain an array of consistency results concerning trees and stationary reflection at double successors of regular cardinals , updating some classical constructions in the pro…
Partitioning a reflecting stationary set
Maxwell Levine, Assaf Rinot
We address the question of whether a reflecting stationary set may be partitioned into two or more reflecting stationary subsets, providing various affirmative answers in ZFC. As a…