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Wydział Matematyki, Informatyki i Mechaniki Uniwersytetu Warszawskiego

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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.

Seminars

Employees

  • General topology, descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
  • Descriptive set theory
  • General topology, dimension theory
  • Infinite combinatorics, cardinal coefficients, combinatorial methods in topology, independence proofs
  • General Topology, Spaces of continuous functions
  • The structure of the real line, ideals in Polish spaces, combinatorics of partial orders
  • General topology, infinite-dimensional topology, descriptive set theory, Banach spaces theory
  • Geometric topology, geometric group theory
  • Geometric topology, homotopy theory, shape theory
  • Large scale geometry, geometric group theory, analysis on groups and manifolds
  • General topology, dimension theory, continua theory
  • Dimension theory, descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
  • Geometric topology, fixed point theory
  • Continua theory, fixed point theory
  • Geometric topology, topological properties of infinite-dimensional spaces
  • Ideals in Polish spaces, invariant measures and ideals, definable ideals on countable sets, special subsets of the reals, combinatorics of Boolean algebras