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
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]
- Notebook. Cost: 8 000 PLN
Information in the final report
Publication in academic press/journals (11)
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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