Topology and Set Theory

Description

General and geometric topology, dimension theory and continua theory. Combinatorial and descriptive set theory and its applications to measure theory, topology and analysis. It includes the study of: special subsets of the reals, cardinal coefficients, combinatorics of partial orders and Boolean algebras, properties of ideals in Polish spaces and of definable ideals on countable sets, invariant measures and ideals, pcf theory, combinatorial methods in topology, Borel reducibility of equivalence relations.

Seminars

• Topology and Set Theory Seminar

Employees and PhD students

• dr Mikołaj Krupski

  General Topology, Spaces of continuous functions

• dr Marcin Kysiak

  The structure of the real line, ideals in Polish spaces, combinatorics of partial orders

• dr hab. Maciej Malicki

  Polish group theory, descriptive set theory, Borel reducibility of equivalence relations

• prof. dr hab. Witold Marciszewski

  General topology, infinite-dimensional topology, descriptive set theory, Banach spaces theory

• dr Andrzej Nagórko

  Geometric topology, geometric group theory

• dr Mirosław Sobolewski

  Continuum theory, fixed point theory

• prof. dr hab. Piotr Zakrzewski

  Ideals in Polish spaces, invariant measures and ideals, definable ideals on countable sets, special subsets of the reals, combinatorics of Boolean algebras