Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Izvestiya: Mathematics, 2022, Volume 86, Issue 2, Pages 275–290
DOI: https://doi.org/10.1070/IM9024 (Mi im9024) 		 
The coloured Tverberg theorem, extensions and new results

D. Jojica, G. Yu. Paninabc, R. Živaljevićd

a Faculty of Mathematics and Computer Science, University of Banja Luka, Banja Luka, Republic of Serbia
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
c Saint Petersburg State University
d Mathematical Institute, Serbian Academy of Sciences and Arts, Belgrad, Republic of Serbia
English version PDF (554 kB)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM9024
Abstract: We prove a multiple coloured Tverberg theorem and a balanced coloured Tverberg theorem, applying different methods, tools and ideas. The proof of the first theorem uses a multiple chessboard complex (as configuration space) and the Eilenberg–Krasnoselskii theory of degrees of equivariant maps for non-free group actions. The proof of the second result relies on the high connectivity of the configuration space, established by using discrete Morse theory.
Keywords: Tverberg theorem, chessboard complex, equivariant map.
Funding agency Grant number
Russian Science Foundation 16-11-10039
Ministry of Education, Science and Technical Development of Serbia
Proposition 4.2 was supported by the Russian Science Foundation, grant no. 16-11-10039. R. Živaljević has been supported by the Ministry of Education, Science and Technology of the Serbian Republic (a grant of the Mathematical Institute of the Serbian Academy of Sciences).
Received: 19.02.2020
Revised: 25.08.2020
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2022, Volume 86, Issue 2, Pages 62–79
DOI: https://doi.org/10.4213/im9024
Bibliographic databases:
Document Type: Article
UDC: 515.126.4+515.143.3+514.174.5
MSC: 05E45, 52A35, 55M20
Language: English
Original paper language: Russian
Citation: D. Jojic, G. Yu. Panina, R. Živaljević, “The coloured Tverberg theorem, extensions and new results”, Izv. RAN. Ser. Mat., 86:2 (2022), 62–79; Izv. Math., 86:2 (2022), 275–290
Citation in format AMSBIB
\Bibitem{JojPanZiv22}
\by D.~Jojic, G.~Yu.~Panina, R.~{\v Z}ivaljevi{\'c}
\paper The coloured Tverberg theorem, extensions and new results
\jour Izv. RAN. Ser. Mat.
\yr 2022
\vol 86
\issue 2
\pages 62--79
\mathnet{http://mi.mathnet.ru/im9024}
\crossref{https://doi.org/10.4213/im9024}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4461235}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022IzMat..86..275J}
\transl
\jour Izv. Math.
\yr 2022
\vol 86
\issue 2
\pages 275--290
\crossref{https://doi.org/10.1070/IM9024}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000797200900001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85131382809}
Linking options:
  • https://www.mathnet.ru/eng/im9024
  • https://doi.org/10.1070/IM9024
  • https://www.mathnet.ru/eng/im/v86/i2/p62
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:251
    Russian version PDF:39
    English version PDF:25
    Russian version HTML:117
    References:41
    First page:9
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024