13 citations · 26 across the 20 of their papers we have counts for
22 papers
Forcing Diamond and Applications to Iterability
Heike Mildenberger, Saharon Shelah
We show that higher Sacks forcing at a regular limit cardinal and club Miller forcing at an uncountable regular cardinal both add a diamond sequence. We answer the longstanding que…
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…
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…
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…
On splitting trees
Giorgio Laguzzi, Heike Mildenberger, Brendan Stuber-Rousselle
We investigate two variants of splitting tree forcing, their ideals and regularity properties. We prove connections with other well-known notions, such as Lebesgue measurablility,…
Uncountable structures are not classifiable up to bi-embeddability
Filippo Calderoni, Heike Mildenberger, Luca Motto Ros
Answering some of the main questions from [MR13], we show that whenever is a cardinal satisfying , then the embeddability relation between -sized structures…