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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Ideals and group actions on Polish spaces

2011/01/B/ST1/01439

Keywords:

Polish space cardinal coeficient Z-set Hilbert cube Nobeling space Menger space semigroup relative rank extreme amenable group Bergman-Shelah preorder Lipschitz mapping nonmeasurable set completely nonmeasurable set generic ultrapower definable forcing complex sum

Descriptors:

  • ST1_1:
  • ST1_6:
  • ST1_2:

Panel:

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

Host institution :

Politechnika Wrocławska, Wydział Podstawowych Problemów Techniki

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Michał Aleksander Morayne 

Number of co-investigators in the project: 5

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

Amount awarded: 354 900 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

Information in the final report

  • Publication in academic press/journals (32)
  1. Topologically invariant sigma-ideals on Euclidean spaces
    Authors:
    T. Banakh, M. Morayne, R. Ralowski, Sz. Zeberski
    Academic press:
    Fundamenta Mathematicae (rok: 2015, tom: 231, strony: 101-112), Wydawca: INSTITUTE OF MATHEMATICS · POLISH ACADEMY OF SCIENCES
    Status:
    Published
    DOI:
    10.4064/fm231-2-1 - link to the publication
  2. Universal nowhere dense and meager sets in Menger manifolds
    Authors:
    T. Banakh, D. Repovs
    Academic press:
    Topology and its Applications (rok: 2014, tom: 161, strony: 127–140.), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2013.09.012 - link to the publication
  3. On infty-convex sets in spaces of scatteredly continuous functions
    Authors:
    T. Banakh, B. Bokalo, N. Kolos
    Academic press:
    Topology and its Applications (rok: 2014, tom: 169 (1), strony: 33-44), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2014.02.030 - link to the publication
  4. Families of sets with nonmeasurable unions with respect to ideals defined by trees
    Authors:
    R. Rałowski
    Academic press:
    Archive for Mathematical Logic (rok: 2015, tom: 54, strony: 649-658), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00153-015-0433-z - link to the publication
  5. Algebra in superextensions of inverse semigroups
    Authors:
    T. Banakh, V. Gavrylkiv
    Academic press:
    Algebra and Discrete Mathematics (rok: 2012, tom: 13, strony: 147–168), Wydawca: Lugansk National Taras Shevchenko University with the science support of the Kyiv National Taras Shevchenko University
    Status:
    Published
    DOI:
    b.d. - link to the publication
  6. The continuity properties of compact-preserving functions
    Authors:
    T. Banakh, A. Bartoszewicz, M. Bienias, Sz. Głąb
    Academic press:
    Topology and its Applications (rok: 2013, tom: 160, strony: 937–942), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2013.03.007 - link to the publication
  7. Asymptotic dimension and small subsets in locally compact topological groups
    Authors:
    T. Banakh, O. Chervak, N. Lyaskovska
    Academic press:
    Geometriae Dedicata (rok: 2014, tom: 169, strony: 383–396), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10711-013-9862-1 - link to the publication
  8. Universal meager Fσ-sets in locally compact manifolds
    Authors:
    T. Banakh, D. Repovs
    Academic press:
    Commentationes Mathematicae Universitatis Carolinae (rok: 2013, tom: 54, strony: 179–188), Wydawca: Faculty of Mathematics and Physics of Charles University, Prague, Czech Republic
    Status:
    Published
  9. Syndetic submeasures and partitions of G-spaces and groups
    Authors:
    T. Banakh, I.V. Protasov, S. Slobodianiuk
    Academic press:
    International Journal of Algebra and Computatiion (rok: 2013, tom: 23, strony: 1611-1623), Wydawca: World Scientific
    Status:
    Published
    DOI:
    b.d. - link to the publication
  10. Universal meager Fσ-sets in locally compact manifolds
    Authors:
    T. Banakh, D. Repovs
    Academic press:
    Commentationes Mathematicae Universitatis Carolinae (rok: 2013, tom: 54, strony: 179–188), Wydawca: Faculty of Mathematics and Physics of Charles University, Prague, Czech Republic
    Status:
    Published
    DOI:
    brak - link to the publication
  11. On character of points in the Higson corona of a metric space
    Authors:
    T. Banakh, O. Chervak, L. Zdomskyy
    Academic press:
    Commentationes Mathematicae Universitatis Carolinae (rok: 2013, tom: 54, strony: 159-178), Wydawca: Faculty of Mathematics and Physics of Charles University, Prague, Czech Republic
    Status:
    Published
    DOI:
    b.d - link to the publication
  12. Generating Borel measurable mappings with continuous mappings
    Authors:
    W. Bielas, A.W. Miller, M. Morayne, T. Słonka
    Academic press:
    Topology and its Applications (rok: 2013, tom: 160, strony: 1439-1443), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2013.05.019 - link to the publication
  13. Generating Borel measurable mappings with continuous mappings
    Authors:
    W. Bielas, A.W. Miller, M. Morayne, T. Słonka
    Academic press:
    Topology and its Applications (rok: 2013, tom: 160, strony: 1439-1443), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2013.05.019 - link to the publication
  14. Syndetic submeasures and partitions of G-spaces and groups
    Authors:
    T. Banakh, I.V. Protasov, S. Slobodianiuk
    Academic press:
    International Journal of Algebra and Computatiion (rok: 2013, tom: 23, strony: 1611-1623), Wydawca: World Scientific
    Status:
    Published
    DOI:
    b.d. - link to the publication
  15. The continuity properties of compact-preserving functions
    Authors:
    T. Banakh, A. Bartoszewicz, M. Bienias, Sz. Głąb
    Academic press:
    Topology and its Applications (rok: 2013, tom: 160, strony: 937-942), Wydawca: Elsevier
    Status:
    Published
    DOI:
    b.d. - link to the publication
  16. Measure preserving homeomorphism of the Hilbert cube embedding the pseudo-boundary into the pseudo-interior
    Authors:
    M. Morayne, M. Pietroń
    Academic press:
    Bulletin des Sciences Mathématiques (rok: 2014, tom: 138, strony: 860-869.), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.bulsci.2014.03.001 - link to the publication
  17. A 1-dimensional Peano continuum which is not an IFS attractor
    Authors:
    T. Banakh, M. Nowak
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2013, tom: 141, strony: 931–935), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/S0002-9939-2012-11737-X - link to the publication
  18. On ∞-convex sets in spaces of scatteredly continuous functions
    Authors:
    T. Banakh, B. Bokalo, N. Kolos
    Academic press:
    Topology and its Applications (rok: 2014, tom: 169, strony: 33–44), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2014.02.030 - link to the publication
  19. On infty-convex sets in spaces of scatteredly continuous functions
    Authors:
    T. Banakh, B. Bokalo, N. Kolos
    Academic press:
    Topology and its Applications (rok: 2014, tom: 169 (1), strony: 33-44), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2014.02.030 - link to the publication
  20. Universal nowhere dense and meager sets in Menger manifolds
    Authors:
    T. Banakh, D. Repovs
    Academic press:
    Topology and its Applications (rok: 2014, tom: 161, strony: 127–140.), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2013.09.012 - link to the publication
  21. The Bergman-Shelah preorder on transformation semigroups
    Authors:
    Z. Mesyan, J.D. Mitchell, M. Morayne, Y. Péresse
    Academic press:
    Mathematical Logic Quarterly (rok: 2012, tom: 58, strony: 424–433), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/malq.201200002 - link to the publication
  22. Some properties of I-Luzin sets
    Authors:
    M. Michalski, S. Żeberski
    Academic press:
    Topology and Its Applications (rok: 2015, tom: 189, strony: 122-135), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2015.04.007 - link to the publication
  23. Non-meager free sets for meager relations on Polish spaces
    Authors:
    T. Banakh, L. Zdomskyy
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2015, tom: 143, strony: 2719-2724), Wydawca: American Mathematical society
    Status:
    Published
    DOI:
    10.1090/S0002-9939-2015-12419-7 - link to the publication
  24. Hereditarily supercompact spaces
    Authors:
    T. Banakh, Z. Kosztolowicz, S. Turek
    Academic press:
    Topology and its Applicactions (rok: 2014, tom: 161, strony: 263–278), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.028 - link to the publication
  25. The Bergman-Shelah preorder on transformation semigroups
    Authors:
    Z. Mesyan, J.D. Mitchell, M. Morayne, Y. Péresse
    Academic press:
    Mathematical Logic Quarterly (rok: 2012, tom: 58, strony: 424–433), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/malq.201200002 - link to the publication
  26. On character of points in the Higson corona of a metric space
    Authors:
    T. Banakh, O. Chervak, L. Zdomskyy
    Academic press:
    Commentationes Mathematicae Universitatis Carolinae (rok: 2013, tom: 54, strony: 159-178), Wydawca: Faculty of Mathematics and Physics of Charles University, Prague, Czech Republic
    Status:
    Published
    DOI:
    b.d - link to the publication
  27. Hereditarily supercompact spaces
    Authors:
    T. Banakh, Z. Kosztolowicz, S. Turek
    Academic press:
    Topology and its Applicactions (rok: 2014, tom: 161, strony: 263–278), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.028 - link to the publication
  28. Two point set with additional properties
    Authors:
    M. Bienias, S. Głąb, R. Rałowski, S. Żeberski
    Academic press:
    Czechoslovak Mathematical Journal (rok: 2013, tom: 63 (138), strony: 1019-1037), Wydawca: Springer
    Status:
    Published
    DOI:
    b.d. - link to the publication
  29. On ∞-convex sets in spaces of scatteredly continuous functions
    Authors:
    T. Banakh, B. Bokalo, N. Kolos
    Academic press:
    Topology and its Applications (rok: 2014, tom: 169, strony: 33–44), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2014.02.030 - link to the publication
  30. Topologically invariant sigma-ideals on Hilbert's cube
    Authors:
    T. Banakh, M. Morayne, R. Rałowski, Sz. Żeberski
    Status:
    Accepted for publication
  31. Topologically invariant sigma-ideals on Hilbert's cube
    Authors:
    T. Banakh, M. Morayne, R. Rałowski, Sz. Żeberski
    Status:
    Accepted for publication
  32. Classifying invariant σ-ideals with analytic base on good Cantor measure spaces
    Authors:
    T. Banakh, R. Rałowski, Sz. Żeberski
    Status:
    Accepted for publication

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