Short description
Classical measure theory was originated by E. Borel and H. Lebesgue at the turn of the 19th century. Since then it has developed into a major mathematical discipline, indispensable to analysis, both abstract and applied, and probability theory.
Measure theory was one of the main specialities of the Polish mathematical school between the two World Wars, with outstanding contributions due to W. Sierpiński, S. Banach, K. Kuratowski, S. Saks, H. Steinhaus and E. Szpilrajn-Marczewski. This tradition has been continued to the present day in many scientific centers of Poland, including Łódź, Warsaw and Wrocław.
E. Marczewski (1907-1976) is famous for important results and concepts in various branches of measure theory. In particular, he introduced and studied the notion of a compact measure and established the relationship between the notion of set-theoretic independence and that of stochastic independence. He also discovered a fundamental connection between the n-dimensional measure and topological dimension.
One of the purposes of the proposed conference is to celebrate the 100th anniversary of Marczewski's birth by a special session devoted to his life and work. Another purpose is to gather together mathematicians working in measure theory and related fields. We plan to invite several leading experts to give longer lectures or series of lectures which should present the current main trends in abstract measure theory and be accessible also to younger researchers. Most of the time will be, however, reserved for short communications on a variety of topics, including
- measures on abstract spaces,
- measures on topological spaces,
- group- and vector-valued measures,
- set-theoretic aspects of measure theory,
- Boolean algebras,
- Borel spaces,
- real functions and integration,
- set-valued analysis.