Maxwell Levine

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20232025

most citedClassical Namba forcing can have the weak countable approximation property

1 citations · 1 across the 5 of their papers we have counts for

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math.LO2024

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 $κ$ is a singular strong limit…

math.LO2024

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 $CH$ from one of their minimality results. Then, using a measurable cardinal…

math.LO2024

Distinguishing Internally Club and Approachable on an Infinite Interval

Hannes Jakob, Maxwell Levine

Krueger showed that PFA implies that for all regular $Θ \geq ℵ_{2}$ , there are stationarily many $[H (Θ)]^{ℵ_{1}}$ that are internally club but not internally approachable. From…