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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
Mathias and Silver forcing parametrized by density
Giorgio Laguzzi, Heike Mildenberger, Brendan Stuber-Rousselle
We define and investigate versions of Silver and Mathias forcing with respect to lower and upper density. We focus on properness, Axiom A, chain conditions, preservation of cardina…