Model theory and topological dynamics

2015/19/B/ST1/01151

Keywords

Descriptors

  • ST1_1: Logika i podstawy matematyki
  • ST1_6: Topologia
  • 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

Voivodeship: dolnośląskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

dr hab. Krzysztof Cyprian 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
2016-06-15
Project end date
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. Cost: 8 000 PLN

Information in the final report

Publication in academic press/journals (11)

  1. 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 (year: 2019, volume: 372 (8), pages: 5991-6016), Publisher: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/7896 – link to the publication
  2. Definable topological dynamics

    Authors:
    Krzysztof Krupiński
    Academic press:
    Journal of Symbolic Logic (year: 2017, volume: 82 issue 3, pages: 1080-1105), Publisher: Association of Symbolic Logic
    Status:
    Published
    DOI:
    10.1017/jsl.2017.32 – link to the publication
  3. Model Theory of Fields with Virtually Free Group Actions

    Authors:
    Özlem Beyarslan, Piotr Kowalski
    Academic press:
    Proceedings of the London Mathematical Society (year: 2019, volume: 118 (2), pages: 221-256), Publisher: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/plms.12180 – link to the publication
  4. On countable closed covers of compact spaces

    Authors:
    Adam Malinowski, Ludomir Newelski
    Academic press:
    Topology and its Applications (year: 2020, volume: 272, pages: 1070669 (11 stron)), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2020.107069 – link to the publication
  5. Topological dynamics and the complexity of strong types

    Authors:
    Krzysztof Krupiński, Anand Pillay, Tomasz Rzepecki
    Academic press:
    Israel Journal of Mathematics (year: 2018, volume: 228, pages: 863-932), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s11856-018-1780-3 – link to the publication
  6. Difference modules and difference cohomology

    Authors:
    Marcin Chałupnik, Piotr Kowalski
    Academic press:
    Algebra & Number Theory (year: 2018, volume: 12 vol.7, pages: 1559-1580), Publisher: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/ant.2018.12.1559 – link to the publication
  7. Existentially closed fields with finite group actions

    Authors:
    Daniel M. Hoffmann; Piotr Kowalski
    Academic press:
    Journal of Mathematical Logic (year: 2018, volume: 18 (1), pages: 1850003 (26 stron)), Publisher: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219061318500034 – link to the publication
  8. Ax-Schanuel condition in arbitrary characteristic

    Authors:
    Piotr Kowalski
    Academic press:
    Journal of the Institute of Mathematics of Jussieu (year: 2019, volume: 18 (6), pages: 1157-1213), Publisher: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S1474748017000378 – link to the publication
  9. Galois groups as quotients of Polish groups

    Authors:
    Krzysztof Krupiński; Tomasz Rzepecki
    Academic press:
    Journal of Mathematical Logic (year: 2020, volume: 20, pages: 2050018 (48 stron)), Publisher: World Scientific
    Status:
    Published
    DOI:
    10.1142/S021906132050018X – link to the publication
  10. Boundedness and absoluteness of some dynamical invariants in model theory

    Authors:
    Krzysztof Krupiński, Ludomir Newelski, Pierre Simon
    Academic press:
    Journal of Mathematical Logic (year: 2019, volume: 19, pages: 1950012 (55 stron)), Publisher: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219061319500120 – link to the publication
  11. Amenability, definable groups, and automorphism groups

    Authors:
    Krzysztof Krupiński, Anand Pillay
    Academic press:
    Advances in Mathematics (year: 2019, volume: 345, pages: 1253–1299), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2019.01.033 – link to the publication

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