Class at Faculty of Mathematics and Physics |
NMMA625
Syllabus
Syllabus:
1. Ramsey Theorem and its uncountable versions
2. Van der Warden and Hindman Theorems; tools from topological dynamics
3. Galvin-Prikry Theorem and its application to Banach spaces
4. Ramsey property in various categories
5. Selected applications in analysis
Annotation
The aim of the course is to present the main results and ideas of infinite combinatorics, mainly partition problems and dichotomies, with selected applications in mathematical analysis.
