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The course contains an introduction to descriptive set theory. As a more
special part of the course, the theory of Borel and more complex equivalence
relations will be presented, including some results on the actions of Polish
groups.
Preliminary program of the course.
Lecture 1. Polish spaces, sets, hierarchies.
Lecture 2. The first projective level.
Lecture 3. Effective theory.
Lecture 4. The second projective level.
Lecture 5. Borel equivalence relations: an introduction.
Lecture 6. Dichotomy theorems.
Lecture 7. The Glimm-Efros dichotomy.
Lecture 8. Glimm-Efros dichotomy and forcing.
Lecture 9. Classification by countable structures.
Lecture 10. Turbulence.
 RSS: Forthcoming seminars
 Lecturer
Kanovei Vladimir Grigorevich
Organizations
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center |
