Logic Colloquium 2008
Stevo Todorcevic Combinatorial Dichotomies in Set Theory
Early investigations of set-theoretic Forcing Axioms have led us to several dichotomies of combinatorial nature that are easy to understand and use. This will be a survey of some of these dichotomies with a special emphasis to their applications. We shall also expose the influence of these dichotomies on the cardinality of the continuum and its other cardinal invariants.