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Ideals and group actions on Polish spaces

2011/01/B/ST1/01439

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

Politechnika Wrocławska, Wydział Podstawowych Problemów Techniki

Voivodeship: 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
2011-12-01
Project end date
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 (21)

  1. A 1-dimensional Peano continuum which is not an IFS attractor

    Authors:
    T. Banakh, M. Nowak
    Academic press:
    Proceedings of the American Mathematical Society (year: 2013, volume: 141, pages: 931–935), Publisher: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/S0002-9939-2012-11737-X – link to the publication

  2. Families of sets with nonmeasurable unions with respect to ideals defined by trees

    Authors:
    R. Rałowski
    Academic press:
    Archive for Mathematical Logic (year: 2015, volume: 54, pages: 649-658), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00153-015-0433-z – link to the publication

  3. Some properties of I-Luzin sets

    Authors:
    M. Michalski, S. Żeberski
    Academic press:
    Topology and Its Applications (year: 2015, volume: 189, pages: 122-135), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2015.04.007 – link to the publication

  4. Universal meager Fσ-sets in locally compact manifolds

    Authors:
    T. Banakh, D. Repovs
    Academic press:
    Commentationes Mathematicae Universitatis Carolinae (year: 2013, volume: 54, pages: 179–188), Publisher: Faculty of Mathematics and Physics of Charles University, Prague, Czech Republic
    Status:
    Published

  5. On ∞-convex sets in spaces of scatteredly continuous functions

    Authors:
    T. Banakh, B. Bokalo, N. Kolos
    Academic press:
    Topology and its Applications (year: 2014, volume: 169, pages: 33–44), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2014.02.030 – 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 (year: 2013, volume: 160, pages: 937-942), Publisher: Elsevier
    Status:
    Published

  7. Non-meager free sets for meager relations on Polish spaces

    Authors:
    T. Banakh, L. Zdomskyy
    Academic press:
    Proceedings of the American Mathematical Society (year: 2015, volume: 143, pages: 2719-2724), Publisher: American Mathematical society
    Status:
    Published
    DOI:
    10.1090/S0002-9939-2015-12419-7 – link to the publication

  8. The Bergman-Shelah preorder on transformation semigroups

    Authors:
    Z. Mesyan, J.D. Mitchell, M. Morayne, Y. Péresse
    Academic press:
    Mathematical Logic Quarterly (year: 2012, volume: 58, pages: 424–433), Publisher: Wiley
    Status:
    Published
    DOI:
    10.1002/malq.201200002 – link to the publication

  9. Generating Borel measurable mappings with continuous mappings

    Authors:
    W. Bielas, A.W. Miller, M. Morayne, T. Słonka
    Academic press:
    Topology and its Applications (year: 2013, volume: 160, pages: 1439-1443), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2013.05.019 – link to the publication

  10. 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 (year: 2013, volume: 23, pages: 1611-1623), Publisher: World Scientific
    Status:
    Published

  11. Algebra in superextensions of inverse semigroups

    Authors:
    T. Banakh, V. Gavrylkiv
    Academic press:
    Algebra and Discrete Mathematics (year: 2012, volume: 13, pages: 147–168), Publisher: Lugansk National Taras Shevchenko University with the science support of the Kyiv National Taras Shevchenko University
    Status:
    Published
    DOI:
    link to the publication

  12. 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 (year: 2013, volume: 54, pages: 159-178), Publisher: Faculty of Mathematics and Physics of Charles University, Prague, Czech Republic
    Status:
    Published

  13. On infty-convex sets in spaces of scatteredly continuous functions

    Authors:
    T. Banakh, B. Bokalo, N. Kolos
    Academic press:
    Topology and its Applications (year: 2014, volume: 169 (1), pages: 33-44), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2014.02.030 – link to the publication

  14. Topologically invariant sigma-ideals on Euclidean spaces

    Authors:
    T. Banakh, M. Morayne, R. Ralowski, Sz. Zeberski
    Academic press:
    Fundamenta Mathematicae (year: 2015, volume: 231, pages: 101-112), Publisher: INSTITUTE OF MATHEMATICS · POLISH ACADEMY OF SCIENCES
    Status:
    Published
    DOI:
    10.4064/fm231-2-1 – link to the publication

  15. Universal nowhere dense and meager sets in Menger manifolds

    Authors:
    T. Banakh, D. Repovs
    Academic press:
    Topology and its Applications (year: 2014, volume: 161, pages: 127–140.), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2013.09.012 – link to the publication

  16. Hereditarily supercompact spaces

    Authors:
    T. Banakh, Z. Kosztolowicz, S. Turek
    Academic press:
    Topology and its Applicactions (year: 2014, volume: 161, pages: 263–278), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2013.10.028 – link to the publication

  17. Two point set with additional properties

    Authors:
    M. Bienias, S. Głąb, R. Rałowski, S. Żeberski
    Academic press:
    Czechoslovak Mathematical Journal (year: 2013, volume: 63 (138), pages: 1019-1037), Publisher: Springer
    Status:
    Published

  18. 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 (year: 2014, volume: 138, pages: 860-869.), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.bulsci.2014.03.001 – link to the publication

  19. Asymptotic dimension and small subsets in locally compact topological groups

    Authors:
    T. Banakh, O. Chervak, N. Lyaskovska
    Academic press:
    Geometriae Dedicata (year: 2014, volume: 169, pages: 383–396), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s10711-013-9862-1 – link to the publication

  20. Topologically invariant sigma-ideals on Hilbert's cube

    Authors:
    T. Banakh, M. Morayne, R. Rałowski, Sz. Żeberski
    Status:
    Accepted for publication

  21. 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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