5 papers
Higher walks and squares
Chris Lambie-Hanson, Pedro Marun
We continue the development of the theory of higher dimensional walks on ordinals began recently by Bergfalk. In particular we identify natural coherence conditions on higher dimen…
Preservation of some topological properties under forcing
Chris Lambie-Hanson, Pedro Marun
We add to the theory of preservation of topological properties under forcing. In particular, we answer a question of Gilton and Holshouser in a strong sense, showing that if player…
Baumgartner's Axiom and Small Posets
Pedro Marun, Saharon Shelah, Corey Bacal Switzer
We contribute to the study of -dense sets of reals, a mainstay in set theoretic research since Baumgartner's seminal work in the 70s. In particular, we show that it is co…
Adding many Cohen reals
Pedro Marun, Saharon Shelah, Corey Bacal Switzer
Abstractly, the generic extensions after -many Cohen reals and -many Cohen reals must be different for reasons of uniform density the relevant Boolean algeb…
On the Consistency Strength of MM()
Natasha Dobrinen, John Krueger, Pedro Marun +2
We prove that the consistency strength of Martin's Maximum restricted to partial orders of cardinality follows from the consistency of ZFC.