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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Set theoretic methods in analytic topology: from pointwise convergence and Banach spaces to operator algebras

2020/37/B/ST1/02613

Keywords:

infinitary combinatorics set theory consistency proofs proofs of independence forcing additional axioms of set theory geometry of nonseparable Banach spaces twisted sums of Banach spaces weak and pointwise topology nonseparable operator algebras

Descriptors:

  • ST1_001:
  • ST1_009:
  • ST1_006:

Panel:

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

Host institution :

Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Witold Michał Marciszewski 

Number of co-investigators in the project: 4

Call: OPUS 19 - announced on 2020-03-16

Amount awarded: 586 800 PLN

Project start date (Y-m-d): 2021-02-01

Project end date (Y-m-d): 2026-10-31

Project duration:: 69 months (the same as in the proposal)

Project status: Pending project

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (18)
  1. Large Banach spaces with no infinite equilateral sets
    Authors:
    Piotr Koszmider, Hugh Wark
    Academic press:
    Bull. Lond. Math. Soc. (rok: 2022, tom: 54, strony: 2066-2077), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/blms.12678 - link to the publication
  2. Characterizing function spaces which have the property (B) of Banakh
    Authors:
    Mikołaj Krupski, Kacper Kucharski, Witold Marciszewski
    Academic press:
    Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. RACSAM (rok: 2025, tom: 119, strony: 75:1-8), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13398-025-01739-8 - link to the publication
  3. Equilateral and separated sets in some Hilbert generated Banach spaces
    Authors:
    Piotr Koszmider, Kamil Ryduchowski
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2024, tom: 152, No. 3, strony: 1003-1017), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/16588 - link to the publication
  4. On subspaces of indecomposable Banach spaces
    Authors:
    Piotr Koszmider, Zdenek Silber
    Academic press:
    Advances in Mathematics (rok: 2025, tom: 473, strony: Paper No. 110292, 42 pp), Wydawca: Elsevier, Inc.
    Status:
    Published
    DOI:
    10.1016/j.aim.2025.110292 - link to the publication
  5. Banach spaces in which large subsets of spheres concentrate
    Authors:
    Piotr Koszmider
    Academic press:
    J. Inst. Math. Jussieu (rok: 2024, tom: 23, no. 2, strony: 737-752), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S1474748022000573 - link to the publication
  6. Products of C*-algebras that do not embed into the Calkin algebra
    Authors:
    Damain Głodkowski, Piotr Koszmider
    Academic press:
    Fundamenta Mathematicae (rok: 2025, tom: 271 no. 3, strony: 273-292), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/fm250516-22-9 - link to the publication
  7. On sequences of finitely supported measures related to the Josefson–Nissenzweig theorem
    Authors:
    Witold Marciszewski, Damian Sobota i Lyubomyr Zdomskyy
    Academic press:
    Topology and its Applications (rok: 2025, tom: 364, strony: 1-21, Paper No. 109100), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2024.109100 - link to the publication
  8. Almost disjoint families and the geometry of nonseparable spheres
    Authors:
    Osvaldo Guzmán, Michael Hrušák, Piotr Koszmider
    Academic press:
    Journal of Functional Analysis (rok: 2023, tom: 285, No. 11, strony: Article ID 110149, 49 p.), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2023.110149 - link to the publication
  9. The Josefson-Nissenzweig theorem and filters on $omega$
    Authors:
    Witold Marciszewski i Damian Sobota
    Academic press:
    Archive for Mathematical Logic (rok: 2024, tom: 63 no. 7-8, strony: 773–812), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00153-024-00920-x - link to the publication
  10. Function spaces on Corson-like compacta
    Authors:
    Krzysztof Zakrzewski
    Academic press:
    Results Math. (rok: 2025, tom: 80 no. 3, strony: Paper No. 75, 21 pp), Wydawca: Springer Nature
    Status:
    Published
    DOI:
    10.1007/s00025-025-02384-8 - link to the publication
  11. On two problems concerning Eberlein compacta
    Authors:
    Witold Marciszewski
    Academic press:
    Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM (rok: 2021, tom: 115, no. 3, strony: Paper No. 126, 14 pp), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13398-021-01059-7 - link to the publication
  12. Every Lindelöf scattered subspace of a Σ-product of real lines is σ-compact
    Authors:
    Antonio Aviles, Mikołaj Krupski
    Academic press:
    Topology and its Applications (rok: 2025, tom: 363, strony: 109234), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2025.109234 - link to the publication
  13. On the class of NY compact spaces of finitely supported elements and related classes
    Authors:
    Antonio Aviles, Mikołaj Krupski
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2025, tom: 57, no. 6, strony: 1729-1748), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/blms.70058 - link to the publication
  14. On coverings of Banach spaces and their subsets by hyperplanes
    Authors:
    Damian Głodkowski, Piotr Koszmider
    Academic press:
    Proc. Amer. Math. Soc. (rok: 2022, tom: 150, strony: 817-831), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/15706 - link to the publication
  15. Linear homeomorphisms of function spaces and the position of a space in its compactification
    Authors:
    Mikołaj Krupski
    Academic press:
    Canadian Journal of Mathematics (rok: 2024, tom: 76, no. 6, strony: 2151-2172), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.4153/S0008414X23000779 - link to the publication
  16. On $kappa$-pseudocompactess and uniform homeomorphisms of function spaces
    Authors:
    Mikołaj Krupski
    Academic press:
    Results Math. (rok: 2023, tom: 78 no.4, strony: Paper No. 154, 11 pp.), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00025-023-01932-4 - link to the publication
  17. Countably tight dual ball with a nonseparable measure
    Authors:
    Piotr Koszmider, Zdenek Silber
    Academic press:
    J. Lond. Math. Soc. (2) (rok: 2024, tom: 110, no. 4, strony: e12988, 25 pp.), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/jlms.12988 - link to the publication
  18. On Ramsey-type properties of the distance in nonseparable spheres
    Authors:
    Piotr Koszmider
    Academic press:
    Transactions of the American Mathematical Society (rok: 2025, tom: 378, No. 4, strony: 2477-2515), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/9316 - link to the publication

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