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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Abstract methods in Banach space theory.

2018/29/B/ST1/00223

Keywords:

set theory Banach spaces twisted sums of Banach spaces measure algebra forcing analytic P-ideals

Descriptors:

  • ST1_1: Logic and foundations
  • ST1_9: Operator algebras and functional analysis
  • 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 :

Uniwersytet Wrocławski, Wydział Matematyki i Informatyki

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Grzegorz Plebanek 

Number of co-investigators in the project: 2

Call: OPUS 15 - announced on 2018-03-15

Amount awarded: 293 600 PLN

Project start date (Y-m-d): 2019-01-24

Project end date (Y-m-d): 2024-01-23

Project duration:: 60 months (the same as in the proposal)

Project status: Project settled

Project description

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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 (14)
  1. Sailing over three problems of Koszmider
    Authors:
    Félix Cabello Sánchez, Jesús M.F. Castillo, Grzegorz Plebanek, Witold Marciszewski, Alberto Salguero-Alarcón
    Academic press:
    Journal of Functional Analysis (rok: 2020, tom: 279 (4), strony: 22 pp.), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2020.108571 - link to the publication
  2. The complemented subspace problem for C(K)-spaces: A counterexample
    Authors:
    Grzegorz Plebanek, Alberto Salguero Alarcón
    Academic press:
    Advances in Mathematics (rok: 2023, tom: 426, strony: 109103), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2023.109103 - link to the publication
  3. Twisted sums of c0 and C(K)-spaces: A solution to the CCKY problem.
    Authors:
    Antonio Avilés, Grzegorz Plebanek , Witold Marciszewski,
    Academic press:
    Advances in Mathematics (rok: 2020, tom: 369, strony: 31 pp.), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2020.107168 - link to the publication
  4. Analityc P-ideals and Banach spaces.
    Authors:
    Piotr Borodulin-Nadzieja, Barnabas Farkas
    Academic press:
    Journal of Functional Analysis (rok: 2020, tom: 272 (8), strony: 108702), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2020.108702 - link to the publication
  5. On sequences of homomorphisms into measure algebras and the Efimov Problem
    Authors:
    Piotr Borodulin-Nadzieja, Damian Sobota
    Academic press:
    Journal of Symbolic Logic (rok: 2023, tom: 88, strony: 191-218), Wydawca: Association of Symbolic Logic
    Status:
    Published
    DOI:
    10.1017/jsl2021.70 - link to the publication
  6. Splitting chains, tunnels and twisted sums.
    Authors:
    Felix Cabello Sanchez, Antonio Aviles, Piotr Borodulin-Nadzieja, David Chodounsky, Osvaldo Guzman
    Academic press:
    Israel Journal of Mathematics (rok: 2021, tom: 241, strony: 955–989), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11856-021-2121-5 - link to the publication
  7. There is a P-measure in the random model
    Authors:
    Piotr Borodulin-Nadzieja, Damian Sobota
    Academic press:
    Fundamenta Mathematicae (rok: 2023, tom: 262, strony: 237-257), Wydawca: Polska Akademia Nauk
    Status:
    Published
    DOI:
    10.4064/fm277-3-2023 - link to the publication
  8. Monolithic spaces of measures
    Authors:
    Grzegorz Plebanek
    Academic press:
    Fundamenta Mathematicae (rok: 2021, tom: --, strony: --), Wydawca: Instytut Matematyczny Polskiej Akademii Nauk
    Status:
    Published
    DOI:
    10.4064/fm962-9-2020 - link to the publication
  9. Musing on Kunen's compact L-space
    Authors:
    Grzegorz Plebanek
    Academic press:
    Topology and its Applications (rok: 2023, tom: 323, strony: 108294), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2022.108294 - link to the publication
  10. On fragmentable compact lines.
    Authors:
    Avilés, Antonio; Martínez-Cervantes, Gonzalo; Plebanek, Grzegorz; Todorcevic, Stevo
    Academic press:
    Mediterr J. Math. (rok: 2019, tom: 16(3), strony: art 65), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00009-019-1345-7 - link to the publication
  11. On the three space property for C(K)-spaces.
    Authors:
    Alberto Salguero Alarcón, Grzegorz Plebanek
    Academic press:
    Journal of Functional Analysis (rok: 2021, tom: 9, strony: 15), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2021.109193 - link to the publication
  12. Abundance of independent sequences in compact spaces and Boolean algebras
    Authors:
    Antonio Avilés, Gonzalo Martínez-Cervantes, Grzegorz Plebanek
    Academic press:
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (rok: 2022, tom: 116, strony: 91), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13398-022-01223-7 - link to the publication
  13. On measures induced by forcing names for ultrafilters
    Authors:
    Piotr Borodulin-Nadzieja, Katarzyna Cegiełka
    Academic press:
    Topology and its Applications (rok: 2023, tom: 323, strony: 108278), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2022.108278 - link to the publication
  14. On the spaces dual to combinatorial Banach spaces
    Authors:
    Piotr Borodulin-Nadzieja, Sebastian Jachimek, Anna Pelczar-Barwacz
    Academic press:
    Mathematische Nachrichten , Wydawca: Wiley
    Status:
    Submitted
    DOI:
    brak - link to the publication

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