Set Theory

This workshop included selected talks on pure set theory and its applications, simultaneously showing diversity and coherence of the subject

Disjoint Stationary Sequences on an Interval of Cardinals

We introduce strong distributivity, a strengthening of distributivity, which implies preservation of ccness and stationarity, afterwards showing a stronger version of the Easton Lemma. We also introduce a new framework for working with arbitrary orders on products of sets. Both concepts are applied together to answer two questions of Krueger using a new version of Mitchell's Forcing.Comment: 25 pages, 0 figure

Set Theory

This stimulating workshop exposed some of the most exciting recent develops in set theory, including major new results about the proper forcing axiom, stationary reflection, gaps in P(ω)/Fin, iterated forcing, the tree property, ideals and colouring numbers, as well as important new applications of set theory to C*-algebras, Ramsey theory, measure theory, representation theory, group theory and Banach spaces