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168 (0,14s) •

Project

Compactness and cardinal invariants (8J23AT015)

will look at systems X ⊆ P(κ) or κ^κ connected to cardinal invariants, in particular by compactness with the structure determined by certain patterns of cardinal invariants.......

Pure mathematics

  • 2023 - 2024
    • •
  • 200 tis. Kč
    • •
  • 200 tis. Kč
    • •
  • MŠMT
Project

Combinatorics and forcing (7AMB13AT011)

of cardinal invariants (bounding number, dominating number, almost disjointness number) for uncountable cardinals. Another promising area is the study of Borel equivalence relations cardinals, infinitary combinato...

BA - Obecná matematika

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

Set theory and its applications (MEB060909)

Exploring the interaction between set theory on one hand, and abstract analysis and combinatorics on the the other....

BA - Obecná matematika

  • 2009 - 2010
    • •
  • 126 tis. Kč
    • •
  • 126 tis. Kč
    • •
  • MŠMT
Project

Compactness principles and combinatorics (GF19-29633L)

of the generalized cardinal invariants such as b, d, s, a, u in the context of compactnessThe project will investigate the effect of compactness principles on the structure of the generalized Cantor space 2^kappa, where kappa is an...

Pure mathematics

  • 2019 - 2022
    • •
  • 4 768 tis. Kč
    • •
  • 4 768 tis. Kč
    • •
  • GA ČR
Project

Topics in set theory Traces of large cardinals, variants of Hechler's theorem, and ultrafilters on countable sets (7AMB15AT035)

The goal of the project is to expand the collaboration between specialists working in different areas of Set Theory. We shall, in particular, try to exploit the complementary expertise of the Czech and Austrian teams while solving problems on the bor...

BA - Obecná matematika

  • 2015 - 2016
    • •
  • 200 tis. Kč
    • •
  • 200 tis. Kč
    • •
  • MŠMT
Project

Filters, Ultrafilters and Connections with Forcing (GF17-33849L)

the related cardinal invariants (independence number, free sequence number). It is known...

BA - Obecná matematika

  • 2017 - 2022
    • •
  • 7 817 tis. Kč
    • •
  • 7 449 tis. Kč
    • •
  • GA ČR
Project

Compactness and Cantor space (8J19AT033)

, in order to ensure more control over the cardinal invariants. 2. We will consider the global version of the previous aim, dealing with more regular uncountable cardinals at the same moment. We expect that large cardin...

Pure mathematics

  • 2019 - 2021
    • •
  • 150 tis. Kč
    • •
  • 116 tis. Kč
    • •
  • MŠMT
Project

The continuum, forcing and large cardinals (GF15-34700L)

The work shall study interactions between large cardinals and forcing: (1) "Combinatorial properties of cardinals and the continuum function start to consider large cardinals, or in general combinatorial properties often fo...

BA - Obecná matematika

  • 2015 - 2017
    • •
  • 4 654 tis. Kč
    • •
  • 4 654 tis. Kč
    • •
  • GA ČR
Project

Cardinality of Fuzzy Sets and Fuzzy Quantifiers (IAA108270901)

The proposed project is devoted to two important and closely associated areas of fuzzy set theory and fuzzy logic, namely, cardinality of fuzzy sets and fuzzy quantifiers. Although, both theories are very extensively elaborated in the classi...

BA - Obecná matematika

  • 2009 - 2011
    • •
  • 1 636 tis. Kč
    • •
  • 1 636 tis. Kč
    • •
  • AV ČR
Project

Logical and set-theoretical properties of the continuum function (GP201/09/P115)

specifically, I will analyze the effects of existence of certain large cardinals on the function which assigns to each regular cardinal number the number of the subsets of thecardinal (so called Easton function). Further, I will st...

BA - Obecná matematika

  • 2009 - 2011
    • •
  • 1 203 tis. Kč
    • •
  • 1 203 tis. Kč
    • •
  • GA ČR
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