Topology and Set Theory

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.

Researchers
  • Józef Chaber
    General topology, descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)

  • Ryszard Engelking (Professor emeritus)
    General topology, dimension theory

  • Wojciech Guzicki
    Set theory, cryptography

  • Adam Krawczyk
    Infinite combinatorics, cardinal coefficients, combinatorial methods in topology, independence proofs

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

  • Witold Marciszewski
    General topology, infinite-dimensional topology, descriptive set theory, Banach spaces theory

  • Henryk Michalewski
    Function spaces and groups with pointwise topology, descriptive set theory and its applications to topology, pcf theory

  • Andrzej Nagórko
    Geometric topology, geometric group theory

  • Sławomir Nowak
    Geometric topology, homotopy theory, shape theory

  • Elżbieta Pol
    General topology, dimension theory, continua theory

  • Roman Pol
    Dimension theory, descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)

  • Mirosława Reńska
    Dimension theory, continua theory

  • Karol Sieklucki
    Geometric topology, fixed point theory

  • Mirosław Sobolewski
    Continua theory, fixed point theory

  • Henryk Toruńczyk
    Geometric topology, topological properties of infinite-dimensional spaces

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