Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

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Topological invariants: the structure of a space and its self-maps

2018/30/Q/ST1/00228

Keywords:

topological invariants compact manifolds polyhedrons Lie goups fixed points periodic points

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 :

Politechnika Gdańska, Wydział Fizyki Technicznej i Matematyki Stosowanej

woj. pomorskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Grzegorz Graff 

Number of co-investigators in the project: 5

Call: SHENG 1 - announced on 2018-06-15

Amount awarded: 561 120 PLN

Project start date (Y-m-d): 2019-07-26

Project end date (Y-m-d): 2025-07-25

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

Project status: Pending project

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 (14)
  • Book publications / chapters in book publications (1)
  1. Generalized Dold sequences on partially-ordered sets
    Authors:
    Grzegorz Graff, Jacek Gulgowski, Małgorzata Lebiedź
    Academic press:
    Electronic Journal of Combinatorics (rok: 2022, tom: 29(1), strony: #P1.25), Wydawca: Editorial Board and Editorial Team of Electronic Journal of Combinatorics
    Status:
    Published
    DOI:
    10.37236/10544 - link to the publication
  2. Dold sequences, periodic points, and dynamic
    Authors:
    Jakub Byszewski, Grzegorz Graff, Thomas Ward
    Academic press:
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY (rok: 2021, tom: 53, strony: 1263 - 1298), Wydawca: LONDON MATHEMATICAL SOCIETY
    Status:
    Published
    DOI:
    10.1112/blms.12531 - link to the publication
  3. How many simplices are needed to triangulate a Grassmannian?
    Authors:
    Dejan Govc, Wacław Marzantowicz, Petar Pavešić
    Academic press:
    Topological Methods in Nonlinear Analysis (rok: 2020, tom: 56, No. 2, strony: 501--518), Wydawca: Juliusz Schauder University Center for Nonlinear Studies
    Status:
    Published
    DOI:
    10.12775/TMNA.2020.027 - link to the publication
  4. Least number of n-periodic points of self-maps of PSU(2)×PSU(2)
    Authors:
    Jerzy Jezierski
    Academic press:
    Journal of Fixed Point Theory and Applications (rok: 2022, tom: 24, strony: Article number: 9 (2022)), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11784-021-00921-w - link to the publication
  5. An absorbing set for the Chialvo map
    Authors:
    P. Pilarczykk, G. Graff
    Academic press:
    Commun Nonlinear Sci Numer Simulat (rok: 2024, tom: 132, strony: Art id 107947), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2024.107947 - link to the publication
  6. Attractors of dissipative homeomorphisms of the infinite surface homeomorphic to a punctured sphere
    Authors:
    G. Graff, R. Ortega, A. Ruiz-Herrera
    Academic press:
    Communications in Contemporary Mathematics (rok: 2022, tom: -, strony: 45308), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/s0219199722500109 - link to the publication
  7. Computations of the least number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds
    Authors:
    Grzegorz Graff, Jerzy Jezierski, Adrian Myszkowski
    Academic press:
    Topological Methods in Nonlinear Analysis (rok: 2020, tom: Vol 56, No 2, strony: 589 - 606), Wydawca: Juliusz Schauder University Center for Nonlinear Studies
    Status:
    Published
    DOI:
    10.12775/TMNA.2020.035 - link to the publication
  8. Estimates of covering type and minimal triangulations based on category weight
    Authors:
    Dejan Govc, Wacław Marzantowicz, Petar Pavešić
    Academic press:
    Forum Mathematicum (rok: 2022, tom: 34 no. 4, strony: 969–988), Wydawca: De Gruyter
    Status:
    Published
    DOI:
    10.1515/forum-2021-0216 - link to the publication
  9. Relations between Reeb graphs, systems of hypersurfaces and epimorphisms onto free groups
    Authors:
    Wacław Marzantowicz, Łukasz Michalak
    Academic press:
    FUNDAMENTA MATHEMATICAE (rok: 2024, tom: Online First version, strony: 16072), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/fm263-1-2024 - link to the publication
  10. Differentiating patients with obstructive sleep apnea from healthy controls based on heart rate–blood pressure coupling quantified by entropy-based indices
    Authors:
    Paweł Pilarczyk, Grzegorz Graff, José M. Amigo, Katarzyna Tessmer, Krzysztof Narkiewicz, Beata Graff
    Academic press:
    Chaos (rok: 2023, tom: 33, strony: art number 103140), Wydawca: AIP Publishing
    Status:
    Published
    DOI:
    10.1063/5.0158923 - link to the publication
  11. Ivanov's Theorem for Admissible Pairs Applicableto Impulsive Differential Equations and Inclusionson Tori
    Authors:
    Jan Andres, Jerzy Jezierski
    Academic press:
    Mathematics (rok: 2020, tom: 8(9), 1602, strony: 45305), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/math8091602 - link to the publication
  12. On the number of simplices required to triangulate a Lie group
    Authors:
    Haibao Duan, Wacław Marzantowicz, Xuezhi Zhao
    Academic press:
    Topology and its Applications (rok: 2021, tom: 293, strony: 1-13 Art no 107559), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2020.107559 - link to the publication
  13. Persistent homology as a new method of the assessment of heart rate variability
    Authors:
    Grzegorz Graff, Beata Graff, Paweł Pilarczyk , Grzegorz Jabłoński, Dariusz Gąsecki,Krzysztof Narkiewicz
    Academic press:
    PLoS ONE (rok: 2021, tom: 16(7), strony: 16(7): e0253851), Wydawca: Public Library of Science (PLoS)
    Status:
    Published
    DOI:
    10.1371/journal.pone.0253851 - link to the publication
  14. Topological-numerical analysis of a two-dimensional discrete neuron model
    Authors:
    P. Pilarczyk, J. Signerska-Rynkowska, G. Graff
    Academic press:
    Chaos (rok: 2023, tom: 33, strony: Art id 043110), Wydawca: AIP Publishing
    Status:
    Published
    DOI:
    10.1063/5.0129859 - link to the publication
  1. Minimal Sets of Lefschetz Periods for Morse-Smale Diffeomorphisms of a Connected Sum of g Real Projective Planes
    Authors:
    Grzegorz Graff, Adrian Myszkowski
    Book:
    Sharing research data across disciplines (rok: 2022, tom: -, strony: 230-232), Wydawca: Gdańsk Tech Publishing House
    Status:
    Published

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