Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Model theory and topological dynamics

2015/19/B/ST1/01151

Keywords:

model theory topological dynamics group theory

Descriptors:

  • ST1_1: Logic and foundations
  • ST1_6: Topology
  • ST1_2: Algebra

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Wrocławski, Wydział Matematyki i Informatyki

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Krzysztof Krupiński 

Number of co-investigators in the project: 5

Call: OPUS 10 - announced on 2015-09-15

Amount awarded: 452 000 PLN

Project start date (Y-m-d): 2016-06-15

Project end date (Y-m-d): 2019-09-14

Project duration:: 39 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Notebook (8 000 PLN)

Information in the final report

  • Publication in academic press/journals (17)
  1. Difference modules and difference cohomology
    Authors:
    Marcin Chałupnik, Piotr Kowalski
    Academic press:
    Algebra & Number Theory (rok: 2018, tom: 12 vol.7, strony: 1559-1580), Wydawca: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/ant.2018.12.1559 - link to the publication
  2. Definable topological dynamics
    Authors:
    Krzysztof Krupiński
    Academic press:
    Journal of Symbolic Logic (rok: 2017, tom: 82 issue 3, strony: 1080-1105), Wydawca: Association of Symbolic Logic
    Status:
    Published
    DOI:
    10.1017/jsl.2017.32 - link to the publication
  3. Existentially closed fields with finite group actions
    Authors:
    Daniel M. Hoffmann; Piotr Kowalski
    Academic press:
    Journal of Mathematical Logic (rok: 2018, tom: 18 (1), strony: 1850003 (26 stron)), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219061318500034 - link to the publication
  4. On countable closed covers of compact spaces
    Authors:
    Adam Malinowski, Ludomir Newelski
    Academic press:
    Topology and its Applications (rok: 2020, tom: 272, strony: 1070669 (11 stron)), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2020.107069 - link to the publication
  5. Amenability, connected components, and definable actions
    Authors:
    Ehud Hrushovski; Krzysztof Krupiński; Anand Pillay
    Academic press:
    Selecta Mathematica (), Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  6. Difference sheaves and torsors
    Authors:
    Marcin Chałupnik; Piotr Kowalski
    Academic press:
    Journal of the Institute of Mathematics of Jussieu (), Wydawca: Cambridge University Press
    Status:
    Submitted
    DOI:
    brak - link to the publication
  7. On model-theoretic connected groups
    Authors:
    Jakub Gismatullin
    Academic press:
    Journal of Symbolic Logic (), Wydawca: The Association of Symbolic Logic
    Status:
    Submitted
    DOI:
    brak - link to the publication
  8. Model Theory of Fields with Virtually Free Group Actions
    Authors:
    Özlem Beyarslan, Piotr Kowalski
    Academic press:
    Proceedings of the London Mathematical Society (rok: 2019, tom: 118 (2), strony: 221-256), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/plms.12180 - link to the publication
  9. On the topological dynamics of automorphism groups; a model-theoretic perspective
    Authors:
    Krzysztof Krupiński, Anand Pillay
    Academic press:
    Archive for Mathematical Logic (), Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  10. Topological dynamics and the complexity of strong types
    Authors:
    Krzysztof Krupiński, Anand Pillay, Tomasz Rzepecki
    Academic press:
    Israel Journal of Mathematics (rok: 2018, tom: 228, strony: 863-932), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11856-018-1780-3 - link to the publication
  11. Ax-Schanuel condition in arbitrary characteristic
    Authors:
    Piotr Kowalski
    Academic press:
    Journal of the Institute of Mathematics of Jussieu (rok: 2019, tom: 18 (6), strony: 1157-1213), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S1474748017000378 - link to the publication
  12. Non-closed products of conjugacy classes
    Authors:
    Jakub Gismatullin
    Academic press:
    Glasgow Mathematical Journal (), Wydawca: Cambridge University Press
    Status:
    Submitted
    DOI:
    brak - link to the publication
  13. On first order amenability
    Authors:
    Ehud Hrushovski; Krzysztof Krupiński; Anand Pillay
    Academic press:
    Selecta Mathematica , Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  14. Amenability, definable groups, and automorphism groups
    Authors:
    Krzysztof Krupiński, Anand Pillay
    Academic press:
    Advances in Mathematics (rok: 2019, tom: 345, strony: 1253–1299), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2019.01.033 - link to the publication
  15. Boundedness and absoluteness of some dynamical invariants in model theory
    Authors:
    Krzysztof Krupiński, Ludomir Newelski, Pierre Simon
    Academic press:
    Journal of Mathematical Logic (rok: 2019, tom: 19, strony: 1950012 (55 stron)), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219061319500120 - link to the publication
  16. Galois groups as quotients of Polish groups
    Authors:
    Krzysztof Krupiński; Tomasz Rzepecki
    Academic press:
    Journal of Mathematical Logic (rok: 2020, tom: 20, strony: 2050018 (48 stron)), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S021906132050018X - link to the publication
  17. Model theory of fields with free operators in positive characteristic
    Authors:
    Özlem Beyarslan, Daniel M. Hoffmann, Moshe Kamensky, Piotr Kowalski
    Academic press:
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (rok: 2019, tom: 372 (8), strony: 5991-6016), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/7896 - link to the publication

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