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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Freedom and independence in algebra and topology

2012/07/D/ST1/02087

Keywords:

Partial algebras Universal algebras Independent sets Free sets Free graphs Algebrability Strong algebrability Spaceability Lineability Real places Topological inverse semigroups

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 :

Politechnika Łódzka, Wydział Fizyki Technicznej, Informatyki i Matematyki Stosowanej

woj. łódzkie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Szymon Głąb 

Number of co-investigators in the project: 6

Call: SONATA 4 - announced on 2012-09-15

Amount awarded: 328 680 PLN

Project start date (Y-m-d): 2013-07-09

Project end date (Y-m-d): 2017-07-08

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Komputery typu laptop (3 sztuki) (3 szt.) (12 000 PLN)

Information in the final report

  • Publication in academic press/journals (30)
  1. Large free sets in powers of universal algebras
    Authors:
    T.Banakh, A.Bartoszewicz, S.Głąb
    Academic press:
    Algebra Universalis (rok: 2014, tom: 71, strony: 23-29), Wydawca: Springer Basel
    Status:
    Published
    DOI:
    10.1007/s00012-013-0261-0 - link to the publication
  2. On the submetrizability number and i-weight of quasi-uniform spaces and paratopological groups
    Authors:
    T.Banakh, A.Ravsky
    Academic press:
    Topology Proceedings (rok: 2016, tom: 47, strony: 221-259), Wydawca: Auburn University
    Status:
    Published
    DOI:
    brak - link to the publication
  3. Spaceability of the set of continuous injections from Blp into lp with nowhere continuous inverses
    Authors:
    Marek Balcerzak, Filip Strobin
    Academic press:
    Linear Algebra and its Applications (rok: 2014, tom: 450, strony: 76-82), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.laa.2014.02.042 - link to the publication
  4. Achievement sets of conditionally convergent series
    Authors:
    Artur Bartoszewicz, Szymon Głąb, Jacek Marchwicki
    Academic press:
    Colloquium Mathematicum (rok: 2018, tom: 152, strony: 235-254), Wydawca: IM PAN
    Status:
    Published
    DOI:
    10.4064/cm7052-4-2017 - link to the publication
  5. Achievement sets on the plane—perturbations of geometric and multigeometric series
    Authors:
    A. Bartoszewicz, S. Głąb
    Academic press:
    Chaos, Solitons & Fractals (rok: 2015, tom: 77, strony: 84-93), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.chaos.2015.05.001 - link to the publication
  6. Algebraic structures in the sets of surjective functions
    Authors:
    A. Bartoszewicz, M. Bienias, S. Głąb, T. Natkaniec
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2016, tom: 441, strony: 574-585), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2016.04.013 - link to the publication
  7. Cardinality of sets of \rho-upper and \rho-lower continuous functions
    Authors:
    M.Bienias, S.Głąb, W.Wilczyński
    Academic press:
    Bull. Soc. Sci. Lettres Łódź Ser. Rech. Deform. (rok: 2014, tom: 64, strony: 71-80), Wydawca: Łódzkie Towarzystwo Naukowe
    Status:
    Published
    DOI:
    brak - link to the publication
  8. Contractive function systems, their attractors and metrization
    Authors:
    T.Banakh, W.Kubiś, N.Novosad, M.Nowak, F.Strobin
    Academic press:
    Topological Methods in Nonlinear Analysis (rok: 2015, tom: 46, strony: 1029-1066), Wydawca: Juliusz P. Schauder Center for Nonlinear Studies
    Status:
    Published
    DOI:
    10.12775/TMNA.2015.076 - link to the publication
  9. Detecting topological and Banach fractals among zero-dimensional spaces
    Authors:
    T.Banakh, M.Nowak, F.Strobin
    Academic press:
    Topology and its Applications (rok: 2015, tom: 196, strony: 22-30), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2015.09.003 - link to the publication
  10. Large function algebras with certain topological properties
    Authors:
    A.Bartoszewicz, S.Głąb
    Academic press:
    Journal of Function Spaces (rok: 2015, tom: Volume 2015, strony: Article ID 761924), Wydawca: Hindawi Publishing Corporation
    Status:
    Published
    DOI:
    10.1155/2015/761924 - link to the publication
  11. Large structures made of nowhere L^p functions
    Authors:
    S.Głąb, P. Kaufmann, L. Pellegrini
    Academic press:
    Studia Mathematica (rok: 2014, tom: 221(1), strony: 13-34), Wydawca: IM PAN
    Status:
    Published
    DOI:
    10.4064/sm221-1-2 - link to the publication
  12. 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(2015) no. 6, strony: 2719-2724), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/S0002-9939-2015-12419-7 - link to the publication
  13. On certain uniformly open multilinear mappings
    Authors:
    M. Balcerzak, E. Behrends, F. Strobin
    Academic press:
    Banach Journal of Mathematical Analysis (rok: 2016, tom: 10, strony: 482–494), Wydawca: Duke University Press
    Status:
    Published
    DOI:
    10.1215/17358787-3599741 - link to the publication
  14. Spaceability of sets in Lp × Lq and C0 × C0
    Authors:
    S. Głąb, F. Strobin
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2016, tom: 440, strony: 451–465), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2016.03.063 - link to the publication
  15. Topological and Measure Properties of Some Self-similar Sets
    Authors:
    T.Banakh, A.Bartoszewicz, M.Filipczak, E.Szymonik
    Academic press:
    Topological Methods in Nonlinear Analysis (rok: 2015, tom: 46, strony: 1013-1028), Wydawca: Juliusz P. Schauder Center for Nonlinear Studies
    Status:
    Published
    DOI:
    10.12775/TMNA.2015.075 - link to the publication
  16. Embedding topological fractals in universal spaces
    Authors:
    Taras Banakh, Filip Strobin
    Academic press:
    Journal of Fractal Geometry (rok: 2015, tom: 2, strony: 377-388), Wydawca: European Mathematical Society
    Status:
    Published
    DOI:
    10.4171/JFG/25 - link to the publication
  17. Large free subgroups of automorphism groups of ultrahomogeneous spaces.
    Authors:
    S. Głąb, F. Strobin
    Academic press:
    Colloquium Mathematicum (rok: 2015, tom: 140, strony: 279-295), Wydawca: IM PAN
    Status:
    Published
    DOI:
    10.4064/cm140-2-7 - link to the publication
  18. Qualitative properties of ideal convergent subsequences and rearrangements
    Authors:
    M. Balcerzak, S. Głąb, A. Wachowicz
    Academic press:
    Acta Mathematica Hungarica (rok: 2016, tom: 150, strony: 312–323), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10474-016-0644-8 - link to the publication
  19. Quasi-pseudometrics on quasi-uniform spaces and quasi-metrization of topological monoids
    Authors:
    T.Banakh, A.Ravsky
    Academic press:
    Topology and its Applications (rok: 2016, tom: 200, strony: 19-43), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2015.12.010 - link to the publication
  20. Topological size of some subsets in certain Calderón–Lozanowskiĭ spaces
    Authors:
    I. Akbarbaglu, S. Głąb, S. Maghsoudi, F. Strobin
    Academic press:
    Advances in Mathematics (rok: 2017, tom: 312, strony: 737–763), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2017.03.033 - link to the publication
  21. Typical behaviour of integrable functions at infinity
    Authors:
    M. Balcerzak, A. Majchrzycki, F. Strobin
    Academic press:
    Elsevier (rok: 2016, tom: 27, strony: 893–901), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.indag.2016.05.001 - link to the publication
  22. Ideal invariant injections
    Authors:
    M. Balcerzak, S. Głąb, J. Swaczyna
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2017, tom: 445, strony: 423–442), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2016.07.069 - link to the publication
  23. Levy-Steinitz theorem and achievement sets of conditionally convergent series on the real plane
    Authors:
    Szymon Głąb, Jacek Marchwicki
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2018, tom: 459, strony: 476-489), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.034 - link to the publication
  24. On matrix summability of spliced sequences and A-density of points
    Authors:
    A. Bartoszewicz, P. Das, S. Głąb
    Academic press:
    Linear Algebra and its Applications (rok: 2015, tom: 487, strony: 22-42), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.laa.2015.08.031 - link to the publication
  25. On the set of limit points of conditionally convergent series
    Authors:
    S. Głąb, J. Marchwicki
    Academic press:
    Studia Mathematica (rok: 2017, tom: 237, strony: 221-239), Wydawca: IM PAN
    Status:
    Published
    DOI:
    10.4064/sm8480-10-2016 - link to the publication
  26. The strong Pytkeev property in topological spaces
    Authors:
    Taras Banakh, Arkady Leiderman
    Academic press:
    Topology and its Applications (rok: 2017, tom: 227, strony: 45594), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2017.01.015 - link to the publication
  27. Verbal covering properties of topological spaces
    Authors:
    T.Banakh, A.Ravsky
    Academic press:
    Topology and its Applications (rok: 2016, tom: 201, strony: 181-205), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2015.12.036 - link to the publication
  28. Algebrability of S-continuous functions
    Authors:
    Filip Strobin, Renata Wiertelak
    Academic press:
    Topology and its Applications (rok: 2017, tom: 231, strony: 373-385), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2017.09.021 - link to the publication
  29. Automatic continuity of homomorphisms between topological semigroups
    Authors:
    Taras Banakh, Iryna Pastukhova
    Academic press:
    Semigroup Forum (rok: 2015, tom: 90, strony: 280-295), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00233-014-9619-7 - link to the publication
  30. Each regular paratopological group is completely regular
    Authors:
    T. Banakh, A. Ravsky
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2017, tom: 145, strony: 1373-1382), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/13318 - link to the publication

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