Description of Stevo Todorcevic's lectures at the
Fall school (Sept.'05)

Topics in Combinatorial Set Theory

We shall try to present main themes of combinatorial set theory chosen either on the basis of their own interest or on the basis of their usefulness in other areas of mathematics. The chosen topics will include, basic results of finite and infinite-dimensional Ramsey theory, comactness principles such as Rado's conjecture, useful dichotomies such as the p-ideal dichotomy or the principle of open coloring, etc.