Lecturer

Prof. Boris Tsirelson (School of Mathematical Sciences).

Time and place

Monday 16-17 Ornstein 102

Wednesday 16-18 Ornstein 110

Prerequisites

Be acquainted with Lebesgue integration and metric spaces. Everything else will be explained from scratch. However, some maturity in analysis is needed.

Grading policy

Written homework and oral exam.

Lecture notes

1. Basic ideas.
2. Typical sequences etc.
3. The Banach-Mazur game.
4. Choice axioms and Baire category theorem.

(To be continued.)

Additional sources

John Oxtoby, "Measure and category (a survey of the analogies between topological and measure spaces)", Springer 1971.