1 citations · 1 across the 5 of their papers we have counts for
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Failure of Approachability at the Successor of the first Singular for any Cofinality
Hannes Jakob, Maxwell Levine
We solve two long-standing open problems regarding the combinatorics of . We answer a question of Shelah by showing that it is consistent for any that $\mat…
Good Scales and Non-Compactness of Squares
Maxwell Levine, Heike Mildenberger
Cummings, Foreman, and Magidor investigated the extent to which square principles are compact at singular cardinals. The first author proved that if is a singular strong limit…
On Namba Forcing and Minimal Collapses
Maxwell Levine
We build on a 1990 paper of Bukovsky and Coplakova-Hartova. First, we remove the hypothesis of from one of their minimality results. Then, using a measurable cardinal…
Distinguishing Internally Club and Approachable on an Infinite Interval
Hannes Jakob, Maxwell Levine
Krueger showed that PFA implies that for all regular , there are stationarily many that are internally club but not internally approachable. From…
Classical Namba forcing can have the weak countable approximation property
Maxwell Levine
We show that it is consistent from an inaccessible cardinal that classical Namba forcing has the weak -approximation property. In fact, this is the case if -preservi…