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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Applications of infinitary combinatorics and analytic topology in Banach spaces and related structures.

2011/01/B/ST1/00657

Keywords:

Infinitary combinatorics set theory consistency proofs independence proofs forcing Banach spaces Banach spaces of continuous functions compact spaces the dual ball weak topology,linear operators complemented subspaces weakly compact operators injective Banach spaces indecomposable Banach spaces Banach algebras

Descriptors:

  • ST1_8: Analysis
  • ST1_1: Logic and foundations
  • 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 :

Instytut Matematyczny Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Piotr Koszmider 

Number of co-investigators in the project: 1

Call: OPUS 1 - announced on 2011-03-15

Amount awarded: 93 600 PLN

Project start date (Y-m-d): 2011-12-07

Project end date (Y-m-d): 2014-12-06

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Laptop (3 500 PLN)
  2. Książki (3 000 PLN)

Information in the final report

  • Publication in academic press/journals (10)
  • Book publications / chapters in book publications (1)
  1. l∞-sums and the Banach space l∞/c0
    Authors:
    Christina Brech, Piotr Koszmider
    Academic press:
    Fundamenta Mathematicae (rok: 2014, tom: 224, strony: 175-185), Wydawca: Instytut Matematyczny Polskiej Akademii Nauk
    Status:
    Published
    DOI:
    10.4064/fm224-2-3 - link to the publication
  2. On constructions with 2-cardinals
    Authors:
    P. Koszmider
    Academic press:
    Archive for Mathematical Logic (rok: 2015, tom: nie dotyczy, strony: nie dotyczy), Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  3. A continuous image of a Radon-Nikodým compact space which is not Radon-Nikodým
    Authors:
    A. Aviles, P. Koszmider
    Academic press:
    Duke Mathematical Journal (rok: 2013, tom: 162, strony: 2285-2299), Wydawca: Duke University Press
    Status:
    Published
    DOI:
    10.1215/00127094-2348447 - link to the publication
  4. Almost disjoint families of countable sets and separable complementation properties
    Authors:
    J. Ferrer, P. Koszmider, W. Kubis
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2013, tom: 401, strony: 939-949), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2013.01.008 - link to the publication
  5. Banach spaces whose algebra of bounded operators has the integers as their K0-group
    Authors:
    T. Kania, P. Koszmider, N. J. Laustsen,
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2015, tom: 428, no 1., strony: 282-294), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2015.03.021 - link to the publication
  6. On Automorphisms of the Banach space l∞/c0
    Authors:
    P. Koszmider, C. Rodriguez-Porras
    Academic press:
    Fundamenta Mathematicae (rok: 2015, tom: nie dotyczy, strony: nie dotyczy), Wydawca: Instytut Matematyczny Polskiej Akademii Nauk
    Status:
    Submitted
    DOI:
    brak - link to the publication
  7. A Banach space in which every injective operator is surjective
    Authors:
    A. Aviles, P. Koszmider
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2013, tom: 45, strony: 1065-1074), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/blms/bdt039 - link to the publication
  8. Maximal left ideals of the Banach algebra of bounded operators on a Banach space.
    Authors:
    H.G. Dales, H. G.; T. Kania, T. Kochanek, P. Koszmider, N.J. Laustsen
    Academic press:
    Studia Mathematica (rok: 2013, tom: 218, strony: 245-286), Wydawca: Instytut Matematyczny Polskiej Aakademii Nauk
    Status:
    Published
    DOI:
    10.4064/sm218-3-3 - link to the publication
  9. A weak*-topological dichotomy with applications in operator theory
    Authors:
    T. Kania, P. Koszmider, N. J. Laustsen
    Academic press:
    Transactions of the London Mathematical Society (rok: 2014, tom: 1, strony: 45319), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/tlms/tlu001 - link to the publication
  10. Independent families in Boolean algebras with some separation properties.
    Authors:
    P. Koszmider, S. Shelah
    Academic press:
    Algebra Universalis (rok: 2013, tom: 69, strony: 305-312), Wydawca: Birkhäuser Verlag
    Status:
    Published
    DOI:
    10.1007/s00012-013-0227-2 - link to the publication
  1. Universal objects and associations between classes of Banach spaces and classes of compact spaces
    Authors:
    Piotr Koszmider
    Book:
    SELECTED TOPICS IN COMBINATORIAL ANALYSIS, Zbornik Radova (rok: 2015, tom: 17(25), strony: 93-115), Wydawca: Matematički institut SANU, Beograd
    Status:
    Published

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