Set Theory

Course content

Review of ordinals, cardinals, transfinite induction and recursion. Basics of infinitary combinatorics, Suslin s hypothesis and trees, the diamond principle,Martin s axiom and their consequences. Models of set theory, relative consistency, absoluteness and reflection. Gödel s constructible universe and the axiom of constructibility. Forcing and its general theory, the forcing theorems. The relative consistency of CH, CH and other applications of forcing.