Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Interactions between model theory, topology and algebra

2012/07/B/ST1/03513

Keywords:

model theory topological dynamics Polish structure o-minimal structure formal group

Descriptors:

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

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 4 - announced on 2012-09-15

Amount awarded: 585 000 PLN

Project start date (Y-m-d): 2013-06-26

Project end date (Y-m-d): 2016-06-25

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Information in the final report

  • Publication in academic press/journals (18)
  1. Existentially closed fields with G-derivations
    Authors:
    D. Hoffmann, P. Kowalski
    Academic press:
    Journal of the London Mathematical Society (rok: 2016, tom: 93, strony: 590-618), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/jlms/jdw009 - link to the publication
  2. Superrosy fields and valuations
    Authors:
    K. Krupiński
    Academic press:
    Annals of Pure and Applied Logic (rok: 2015, tom: 166, strony: 342-357), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.apal.2014.11.006 - link to the publication
  3. A Product of closed tame sets need not be closed in the profinite topology
    Authors:
    J. Gismatullin
    Academic press:
    Mathematische Zeitschrift , Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  4. Topological dynamics and the complexity of strong types
    Authors:
    K. Krupiński, A. Pillay, T. Rzepecki
    Academic press:
    Journal of the American Mathematical Society , Wydawca: American Mathematical Society
    Status:
    Submitted
    DOI:
    brak - link to the publication
  5. A note on extending actions of infinitesimal group schemes
    Authors:
    D. Hoffmann, P. Kowalski
    Academic press:
    Journal of Algebra (rok: 2016, tom: 446, strony: 275-290), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2015.08.031 - link to the publication
  6. Strongly minimal reducts of valued fields
    Authors:
    P. Kowalski, S. Randriambololona
    Academic press:
    Journal of Symbolic Logic (rok: 2016, tom: 81, strony: 510-523), Wydawca: Association for Symbolic Logic
    Status:
    Published
    DOI:
    10.1017/jsl.2015.61 - link to the publication
  7. Generalized Bohr compactification and model-theoretic connected components
    Authors:
    K. Krupiński, A. Pillay
    Academic press:
    Mathematical Proceedings of the Cambridge Philosophical Society , Wydawca: Elsevier
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  8. Soficity of group extensions
    Authors:
    J. Gismatullin
    Academic press:
    Inventiones mathematicae , Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  9. Uniform simplicity of groups with proximal action
    Authors:
    Światosław R. Gal and Jakub Gismatullin (with an appendix by Nir Lazarovich)
    Academic press:
    Transactions of the American Mathematical Society , Wydawca: American Mathematical Society
    Status:
    Submitted
    DOI:
    brak - link to the publication
  10. Locally finite profinite rings
    Authors:
    J. Dobrowolski, K. Krupiński
    Academic press:
    Journal of Algebra (rok: 2014, tom: 401, strony: 161-178), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2013.11.020 - link to the publication
  11. On model-theoretic connected components in some group extensions
    Authors:
    J. Gismatullin, K. Krupiński
    Academic press:
    Journal of Mathematical Logic (rok: 2015, tom: 15, strony: 1550009 (51 stron)), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219061315500099 - link to the publication
  12. Some model theory of SL(2,R)
    Authors:
    J. Gismatullin, D. Penazzi, A. Pillay
    Academic press:
    Fundamenta Mathematicae (rok: 2015, tom: 229, strony: 117-128), Wydawca: Instytut Matematyczny Paolskiej Akademii Nauk
    Status:
    Published
    DOI:
    10.4064/fm229-2-2 - link to the publication
  13. Ax-Schanuel condition in arbitrary characteristic
    Authors:
    P. Kowalski
    Academic press:
    Journal of the Institute of Mathematics of Jussieu , Wydawca: Johns Hopkins University Press
    Status:
    Submitted
    DOI:
    brak - link to the publication
  14. Integrating Hasse Schmidt derivations
    Authors:
    D. Hoffmann, P. Kowalski
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2015, tom: 219, strony: 875-896), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2014.05.024 - link to the publication
  15. Smoothness of bounded invariant equivalence relations
    Authors:
    K. Krupiński, T. Rzepecki
    Academic press:
    Journal of Symbolic Logic (rok: 2016, tom: 81, strony: 326-356), Wydawca: Association for Symbolic Logic
    Status:
    Published
    DOI:
    10.1017/jsl.2015.44 - link to the publication
  16. Existentially closed fields with finite group actions
    Authors:
    D. Hoffmann, P. Kowalski
    Academic press:
    Journal of Mathematical Logic , Wydawca: World Scientific
    Status:
    Submitted
    DOI:
    brak - link to the publication
  17. Definable topological dynamics
    Authors:
    K. Krupiński
    Academic press:
    J. Symbolic Logic , Wydawca: Association for Symbolic Logic
    Status:
    Submitted
    DOI:
    brak - link to the publication
  18. Open covers of open definable sets in o-minimal structures
    Authors:
    R. Wencel
    Academic press:
    Mathematical Logic Quarterly , Wydawca: John Wiley and Sons
    Status:
    Submitted
    DOI:
    brak - link to the publication

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