Institute of Mathematics of the Academy of Sciences of the Czech Republic Žitná 25, 115 67 Praha 1, Czech Republic

Infinitary combinatorics with applications in analysis

Graduate course, February - May 2013

The aim of the course is to present selected results on combinatorics of infinite sets, with some applications in mathematical analysis.

Course notes:

• [PART 1] (Lectures 1 - 4, updated 5.04.2013) Classical Ramsey theorem and its non-symmetric version; Borel colorings and perfect homogeneous sets.
• [PART 2] (Lecture 5, updated 7.04.2013) Introduction to the Galvin-Prikry Theorem; Nash-Williams theorem.

Last updated: 7 April 2013