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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Continuous logic and its algebraic applications

2011/01/B/ST1/01406

Keywords:

model theory continuous structures Polish group actions metric ultraproducts sofic groups

Descriptors:

  • ST1_1: Logic and foundations
  • 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):

prof. Aleksander Iwanow 

Number of co-investigators in the project: 1

Call: OPUS 1 - announced on 2011-03-15

Amount awarded: 113 200 PLN

Project start date (Y-m-d): 2011-12-01

Project end date (Y-m-d): 2014-11-30

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

Project status: Project settled

Equipment purchased [PL]

  1. Zestaw komputerowy (3 000 PLN)
  2. tablet HP mini (1 000 PLN)

Information in the final report

  • Publication in academic press/journals (11)
  1. Locally compact groups and continuous logic
    Authors:
    A.Ivanov
    Academic press:
    opublikowana w postaci preprintu arXiv:1206.5473 (rok: 2012, tom: -, strony: 22 str), Wydawca: Cornell University Library
    Status:
    Published
  2. Nice enumerations and extreme amenability
    Authors:
    A.Ivanov
    Academic press:
    opublikowana w postaci preprintu arXiv:1310.7116 (rok: 2013, tom: -, strony: 20 str), Wydawca: Cornell University Library
    Status:
    Published
  3. Polish G-spaces and continuous logic
    Authors:
    A.Ivanov, B.Majcher-Iwanow
    Academic press:
    Annals of Pure and Applied Logic (rok: 2017, tom: 168, strony: 749 - 775), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.apal.2016.11.002 - link to the publication
  4. Topological dynamics of automorphism groups of countably categorical structures
    Authors:
    A.Ivanov
    Academic press:
    opublikowana w postaci preprintu arXiv:1412.6657 (rok: 2014, tom: -, strony: 17 str.), Wydawca: Cornell University Library
    Status:
    Published
  5. Continuous structures of quantum circuits
    Authors:
    A.Ivanov
    Academic press:
    opublikowana w postaci preprintu arXiv:1406.4635 (rok: 2014, tom: -, strony: 15 str.), Wydawca: Cornell University Library
    Status:
    Published
  6. Metric ultraproducts of finite groups with respect to some length functions
    Authors:
    A.Ivanov
    Academic press:
    opublikowana w postaci preprintu arXiv:1401.0857 (rok: 2014, tom: -, strony: 16 str), Wydawca: Cornell University Library
    Status:
    Published
  7. An omega-categorical structure with amenable automorphism group
    Authors:
    A.Ivanov
    Academic press:
    Mathematical Logic Quarterly (rok: 2015, tom: 61, strony: 307 - 314), Wydawca: Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
    Status:
    Published
    DOI:
    10.1002/malq.201400036 - link to the publication
  8. An amalgamation property for metric spaces
    Authors:
    A.Ivanov, B.Majcher-Iwanow
    Academic press:
    Algebra and discrete mathematics (rok: 2016, tom: 22, strony: 233 - 239), Wydawca: Lugansk National Taras Shevchenko University
    Status:
    Published
  9. An omega-categorical structure with amenable automorphism group
    Authors:
    A.Ivanov
    Academic press:
    opublikowana w postaci preprintu arXiv:1403.7610 (rok: 2014, tom: -, strony: 12 str), Wydawca: Cornell University Library
    Status:
    Published
  10. Locally compact groups which are separably categorical structures
    Authors:
    A.Ivanov
    Academic press:
    Archive for Mathematical Logic (rok: 2017, tom: 56, strony: 67 - 78), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00153-016-0516-5 - link to the publication
  11. Polish G-spaces and continuous logic
    Authors:
    A.Ivanov, B.Majcher-Iwanow
    Academic press:
    opublikowana w postaci preprintu arXiv:1304.5135 (rok: 2013, tom: -, strony: 47 str), Wydawca: Cornell University Library
    Status:
    Published