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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Topological properties of function spaces

2012/07/N/ST1/03525

Keywords:

space of continuous functions pointwise convergence topology Eberlein compactum Corson compactum Rosenthal compactum space of measures

Descriptors:

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

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 PAN

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Mikołaj Krupski 

Number of co-investigators in the project: 2

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

Amount awarded: 79 550 PLN

Project start date (Y-m-d): 2013-09-02

Project end date (Y-m-d): 2016-09-01

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

Project status: Project settled

Equipment purchased [PL]

  1. komputer (laptop) (3 500 PLN)

Information in the final report

  • Publication in academic press/journals (4)
  1. A metrizable $X$ with $C_p(X)$ not homeomorphic to $C_p(X)\times C_p(X)$
    Authors:
    Mikołaj Krupski, Witold Marciszewski
    Academic press:
    Israel Journal of Mathematics (rok: 2016, tom: 214, strony: 245-258), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11856-016-1373-y - link to the publication
  2. On the weak and pointwise topologies in function spaces
    Authors:
    Mikołaj Krupski
    Academic press:
    Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM (rok: 2015, tom: brak, strony: brak), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13398-015-0248-0 - link to the publication
  3. On the weak and pointwise topologies in function spaces II
    Authors:
    Mikołaj Krupski, Witold Marciszewski
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2017, tom: 452, strony: 646-658), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2017.02.066 - link to the publication
  4. A note on condensations of function spaces onto $\sigma$-compact and analytic spaces
    Authors:
    Mikołaj Krupski
    Academic press:
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (rok: 2015, tom: 143, strony: 2263-2268), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/S0002-9939-2015-12507-5 - link to the publication