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10 490 (0,098s) •

Project

Descriptive set theory and universality questions in Banach space theory (GP14-04892P)

This project deals with connections between methods of descriptive set theory and some questions from the theory of separable Banach spaces. Such connections were discovered by Bourgain in 1980s and we know today that these methods provide the right ...

BA - Obecná matematika

  • 2014 - 2016
    • •
  • 693 tis. Kč
    • •
  • 693 tis. Kč
    • •
  • GA ČR
Project

Homogeneity and Genericity of Metric Structures - Groups, Dynamical Systems, Banach Spaces and C*-Algebras (GF22-07833K)

of automorphism groups of Fraïssé limits and Borel reducibility of isomorphism relations. The theory of Borel reduciblity will be also investigated in the more general framework......

Pure mathematics

  • 2022 - 2024
    • •
  • 5 928 tis. Kč
    • •
  • 5 928 tis. Kč
    • •
  • GA ČR
Project

Combinatorics and forcing (7AMB13AT011)

) for uncountable cardinals. Another promising area is the study of Borel equivalence relations...

BA - Obecná matematika

  • 2013 - 2014
    • •
  • 200 tis. Kč
    • •
  • 200 tis. Kč
    • •
  • MŠMT
Project

Set-theoretical and categorial methods in topological and algebraic structures (GA201/03/0933)

mathematics concerning set-theoretical topology, topological algebraic structures and category theory. We will concentrate mainly at: structural properties of filters, ideals,independent families and almost disjoint systems; Bo...

BA - Obecná matematika

  • 2003 - 2005
    • •
  • 7 440 tis. Kč
    • •
  • 1 485 tis. Kč
    • •
  • GA ČR
Project

Set Theoretical questions in forcing, descriptive theory and topology (7AMB17AT043)

, progress on the countable Borel equivalence relations or a more thorough investigation...

BA - Obecná matematika

  • 2017 - 2018
    • •
  • 200 tis. Kč
    • •
  • 200 tis. Kč
    • •
  • MŠMT
Project

The complexity of continuous and linear classification problem (GA24-10705S)

space with respect to Borel reducibility. Deep results of this form were recently...

Pure mathematics

  • 2024 - 2026
    • •
  • 3 492 tis. Kč
    • •
  • 3 492 tis. Kč
    • •
  • GA ČR
Project

Set theory and its applications (MEB051006)

Cooperation in the subject of descriptive set theory and forcing. Finishing the book "Ideals and Equivalences", coothored by Jindřich Zapletal and Marcin Sabok. Organizing bilateral conferences in Prague and Hejnice on the subject of infinite games, ...

BA - Obecná matematika

  • 2010 - 2011
    • •
  • 132 tis. Kč
    • •
  • 132 tis. Kč
    • •
  • MŠMT
Project

Theory of real functions and descriptive set theory II (GA201/09/0067)

of Borel sets and mappings, especially the possibility of improvement of well-known theorems about Borel uniformizations. We will  work in the abstract theory of systems......

BA - Obecná matematika

  • 2009 - 2011
    • •
  • 840 tis. Kč
    • •
  • 840 tis. Kč
    • •
  • GA ČR
Project

Definability and ideals (MEB061106)

The goal of the project is to formulate original results in the theory of the definable forcing, which connects the methods from the proper-forcing theory with the descriptive set theory and mathematical analysis. Many of natural forcings can be gene...

BA - Obecná matematika

  • 2011 - 2012
    • •
  • 138 tis. Kč
    • •
  • 138 tis. Kč
    • •
  • MŠMT
Project

Computer-assisted research in differential geometry and applications (GA201/02/0616)

-motions of parallel manipulators in the connection with the solution of the Borel...

BA - Obecná matematika

  • 2002 - 2004
    • •
  • 2 420 tis. Kč
    • •
  • 1 459 tis. Kč
    • •
  • GA ČR
  • 1 - 10 out of 10 490