## TAU:0366-4911 |
## Measurability and continuity | ## 2012/2013, sem. 1 |

- Lecturer
- Prof. Boris Tsirelson (School of Mathematical Sciences).
- Prerequisites
- Be acquainted with such things as the Hilbert space
*L*_{2}of square integrable functions on a measure space. Everything else will be explained from scratch. However, some maturity in analysis is needed. (Maturity in probability is not needed.) - Grading policy
- Written homework and oral exam.

- Foreword.
- Basic notions and constructions.
- Probability, random elements, random sets.
- Topology as a powerful helper.
- From random Borel functions to random closed sets.
- Random connected components.
- Borel sets in the light of analytic sets.
- Equivalence relations and measurability.

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