3 papers
math.LO2021
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…
math.LO2021
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…
math.LO2019
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…