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math.LO2025
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…
math.LO2025
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…