Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

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Homogeneity and Minimality in Compact Spaces

2015/19/D/ST1/01184

Keywords:

homogeneity minimality compact space continuum hereditary indecomposability pseudo-arc pseudo-circle

Descriptors:

  • ST1_6: Topology
  • ST1_10: Ordinary differential equations and dynamical systems

Panel:

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

Host institution :

Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie, Wydział Matematyki Stosowanej

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Jan Boroński 

Number of co-investigators in the project: 1

Call: SONATA 10 - announced on 2015-09-15

Amount awarded: 100 800 PLN

Project start date (Y-m-d): 2016-06-08

Project end date (Y-m-d): 2019-06-07

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

Project status: Project settled

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 (11)
  1. Mixing completely scrambled system exists
    Authors:
    Jan P. Boroński, Jiri Kupka, Piotr Oprocha
    Academic press:
    Ergodic Theory and Dynamical Systems (2017) doi:10.1017/etds.2017.16 (rok: 2017, tom: brak, strony: 45303), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2017.16 - link to the publication
  2. Continuous curves of nonmetric pseudo-arcs and semi-conjugacies to interval maps
    Authors:
    Jan P. Boroński, Michel Smith
    Academic press:
    Topology and its Applications (tom: brak, strony: ), Wydawca: Elsevier
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  3. On minimal manifolds
    Authors:
    Boroński J.P., Kozlowski G.
    Academic press:
    Proceedings of the American Mathematical Society , Wydawca: American Mathematical Society
    Status:
    Accepted for publication
    DOI:
    10.1090/proc/15186 - link to the publication
  4. Continuously homogeneous hereditarily indecomposable continua are tree-like
    Authors:
    J.P. Boroński, D. Prier, M. Smith and F. Sturm
    Academic press:
    Fundamenta Mathematicae , Wydawca: POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN
    Status:
    Submitted
    DOI:
    brak - link to the publication
  5. All minimal Cantor systems are slow
    Authors:
    Boroński J.P.; Kupka J.; Oprocha P.,
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2019, tom: brak, strony: brak), Wydawca: WILEY
    Status:
    Published
    DOI:
    10.1112/blms.12275 - link to the publication
  6. On rigid minimal spaces
    Authors:
    Boronski J.P.; Cinc J., Forys-Krawiec, M.
    Academic press:
    Journal of Dynamics and Differential Equations (), Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s10884-020-09845-4 - link to the publication
  7. New exotic minimal sets from pseudo-suspensions of Cantor systems
    Authors:
    Boroński J.P.; Clark A.;Oprocha P
    Academic press:
    Journal of Dynamics and Differential Equations , Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  8. A compact minimal space Y such that its square YxY is not minimal
    Authors:
    Boroński J.P.; Clark A.; Oprocha P.
    Academic press:
    Advances in Mathematics (rok: 2018, tom: 335, strony: 261-275), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2018.07.011 - link to the publication
  9. Edrei's Conjecture revisited
    Authors:
    Jan P. Boroński, Jiri Kupka, Piotr Oprocha
    Academic press:
    Annales Henri Poincaré (rok: 2018, tom: 19, strony: 267–281), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00023-017-0623-9 - link to the publication
  10. On the Conjecture of Wood and Projective Homogeneity
    Authors:
    Jan P. Boroński, Michel Smith
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2018, tom: 461, strony: 1733–1747), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2017.12.051 - link to the publication
  11. Minimal non-invertible maps on the pseudo-circle
    Authors:
    Boroński J.P.; Kennedy J., X. Liu, Oprocha P.,
    Academic press:
    Journal of Dynamics and Differential Equations , Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication

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