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34 (0,134s) •

Project

Combinatorics and forcing (7AMB13AT011)

cardinals, infinitary combinatorics) and encourage mutual crossfertilization of cardinal invariants (bounding number, dominating number, almost disjointness number) for uncountable cardinals. Another promising area is the ...

BA - Obecná matematika

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

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

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

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

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

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
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 cardinals ...

Pure mathematics

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

Compactness principles and combinatorics (GF19-29633L)

The project will investigate the effect of compactness principles on the structure of the generalized Cantor space 2^kappa, where kappa is an infinite regular cardinal. The focus of the project will be on two compactness principles: the tree...

Pure mathematics

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

Information and Communication Strategy of cardinal Dietrichstein in the 1st Half of 17th Cent. European Network in the Service of Land and Diocese (GAP405/12/0388)

Cardinal Francis Dietrichstein (1575-1636) was one the most important political and religious personalities in Czech Lands at the beginning of 17th century. The volume of his correspondence will be analysed under the scope of the quality of ...

AB - Dějiny

  • 2012 - 2018
    • •
  • 2 153 tis. Kč
    • •
  • 2 153 tis. Kč
    • •
  • GA ČR
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