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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Set theoretic methods in topology and in Banach space theory.

2013/11/B/ST1/03596

Keywords:

Banach space Boolean algebra forcing space of continuous functions Corson compactum infinitary combinatorics Tukey order analytic P-ideal

Descriptors:

  • ST1_1: Logic and foundations
  • ST1_6: Topology
  • ST1_9: Operator algebras and functional analysis

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 6 - announced on 2013-09-16

Amount awarded: 203 560 PLN

Project start date (Y-m-d): 2014-08-01

Project end date (Y-m-d): 2017-09-30

Project duration:: 38 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Laptopy (7 000 PLN)

Information in the final report

  • Publication in academic press/journals (16)
  1. Extensions operators and twisted sums of $c_0$ and $C(K)$ spaces
    Authors:
    Witolda Marciszewski, Grzegorz Plebanek
    Academic press:
    Journal of Functional Analysis (rok: 2018, tom: 274/5, strony: 1491-1529), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2017.09.004 - link to the publication
  2. Measures and slaloms
    Authors:
    Piotr Borodulin-Nadzieja, Tanmay Inamdar
    Academic press:
    Fundamenta Mathematicae (rok: 2017, tom: 239, strony: 149-176), Wydawca: Polska Akademia Nauk
    Status:
    Published
    DOI:
    10.4064/fm318-10-2016 - link to the publication
  3. On properties of compacta that do not reflect in small continuous images
    Authors:
    Menachem Magidor, Grzegorz Plebanek
    Academic press:
    Topology and its Applications (rok: 2017, tom: 220, strony: 131-139), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2017.02.013 - link to the publication
  4. Weakly Radon-Nikodym Boolean algebras and independent sequences
    Authors:
    Antonio Aviles, Gonzalo Martinez-Cervantes, Grzegorz Plebanek
    Academic press:
    Fundamenta Mathematicae (rok: 2018, tom: 241/1, strony: 45-66), Wydawca: Polska Akademia Nauk
    Status:
    Published
    DOI:
    10.4064/fm404-5-2017 - link to the publication
  5. A Little Ado about Rectangles
    Authors:
    Antonio Aviles, Grzegorz Plebanek
    Academic press:
    American Mathematical Monthly (rok: 2017, tom: 124, strony: 345-350), Wydawca: Mathematical Association of America
    Status:
    Published
    DOI:
    10.4169/amer.math.monthly.124.4.345 - link to the publication
  6. Measures and fibers
    Authors:
    Piotr Borodulin-Nadzieja
    Academic press:
    Topology and its Applications (rok: 2016, tom: 210, strony: 201-2015), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2016.07.018 - link to the publication
  7. Measures on Suslinean spaces
    Authors:
    Piotr Borodulin-Nadzieja, Grzegorz Plebanek
    Academic press:
    Fundamenta Mathematicae (rok: 2016, tom: 235, strony: 287-302), Wydawca: Polska Akademia Nauk
    Status:
    Published
    DOI:
    10.4064/fm229-3-2016 - link to the publication
  8. Representations of ideals in Polish groups and in Banach spaces
    Authors:
    Piotr Borodulin-Nadzieja, Barnabas Farkas, Grzegorz Plebanek
    Academic press:
    Journal of Symbolic Logic (rok: 2015, tom: 80/4, strony: 1268-1289), Wydawca: Association of Symbolic Logic
    Status:
    Published
    DOI:
    10.1017/jsl.2014.63 - link to the publication
  9. The Ascoli property for function spaces and the weak topology of Banach and Fréchet spaces
    Authors:
    S. Gabriyelyan, J. Kąkol, Grzegorz Plebanek
    Academic press:
    Studia Mathematica (rok: 2016, tom: 233, strony: 119-139), Wydawca: Polska Akademia Nauk
    Status:
    Published
    DOI:
    brak - link to the publication
  10. Countable tightness in the spaces of regular probability measures
    Authors:
    Grzegorz Plebanek, Damian Sobota
    Academic press:
    Fundamenta Mathematicae (rok: 2015, tom: 229, strony: 159-169), Wydawca: Polska Akademia Nauk
    Status:
    Published
    DOI:
    10.4064/fm229-2-4 - link to the publication
  11. On disconnected images of connected spaces
    Authors:
    Antonio Aviles, Grzegorz Plebanek
    Academic press:
    Topology and its applications (rok: 2017, tom: 228, strony: 108-124), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2017.05.013 - link to the publication
  12. Tukey classification of some ideals in N and the lattices of weakly compact sets in Banach spaces
    Authors:
    Antonio Aviles, Grzegorz Plebanek, Jose Rodriguez
    Academic press:
    Advances in Mathematics (rok: 2017, tom: 310, strony: 696-758), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2017.02.017 - link to the publication
  13. Compactifications of omega and the Banach space $c_0$
    Authors:
    Piotr Drygier, Grzegorz Plebanek
    Academic press:
    Fundamenta Mathematicae (rok: 2017, tom: 237, strony: 165-186.), Wydawca: Polska Akademia Nauk
    Status:
    Published
    DOI:
    10.4064/fm263-6-2016 - link to the publication
  14. Hyper-Stonean envelopes of compact spaces
    Authors:
    H. Garth Dales, Grzegorz Plebanek
    Academic press:
    Studia Mathematica (rok: 2019, tom: 246//1, strony: 31-46.), Wydawca: Polska Akademia Nauk
    Status:
    Published
    DOI:
    10.4064/sm170815-14-2 - link to the publication
  15. Nonseparable growth of the integers supporting a measure
    Authors:
    Piotr Drygier, Grzegorz Plebanek
    Academic press:
    Topology and its Applications (rok: 2015, tom: 191, strony: 58-64), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2015.05.051 - link to the publication
  16. On non-separable growths of omega supporting measures
    Authors:
    Piotr Borodulin-Nadzieja, Tomasz Żuchowski
    Academic press:
    Proceedings of American Mathematical Society , Wydawca: American Mathematical Society
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication

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