Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 1995, Volume 231, Pages 245–254 (Mi znsl3754)  
This article is cited in 2 scientific papers (total in 2 papers)

Topological methods in geometry

Generalized Sperner lemma and subdivisions into simplices of equal volume

Boris M. Bekker, Nikita Yu. Netsvetaev

С.-Петербургский государственный университет
Full-text PDF (483 kB) Citations (2)
Abstract: A generalization of the well-known Sperner lemma is suggested, which covers the case of arbitrary subdivisions of (convex) polyhedra into (convex) polyhedra. It is used for giving a new proof of the Thomas–Monsky–Mead theorem saying that the $n$-cube can be subdivided into $N$ simplices of equal volume if and only if $N$ is divisible by $n!$. Some new related results are announced. Bibl. 6 titles.
Received: 15.06.1994
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 91, Issue 6, Pages 3492–3498
DOI: https://doi.org/10.1007/BF02434927
Bibliographic databases:
Document Type: Article
UDC: 514.752
Language: English
Citation: Boris M. Bekker, Nikita Yu. Netsvetaev, “Generalized Sperner lemma and subdivisions into simplices of equal volume”, Investigations in topology. Part 8, Zap. Nauchn. Sem. POMI, 231, POMI, St. Petersburg, 1995, 245–254; J. Math. Sci. (New York), 91:6 (1998), 3492–3498
Citation in format AMSBIB
\Bibitem{BekNet95}
\by Boris~M.~Bekker, Nikita~Yu.~Netsvetaev
\paper Generalized Sperner lemma and subdivisions into simplices of equal volume
\inbook Investigations in topology. Part~8
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 231
\pages 245--254
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3754}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1434297}
\zmath{https://zbmath.org/?q=an:0907.51007|0891.51013}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 91
\issue 6
\pages 3492--3498
\crossref{https://doi.org/10.1007/BF02434927}
Linking options:
  • https://www.mathnet.ru/eng/znsl3754
  • https://www.mathnet.ru/eng/znsl/v231/p245
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:356
    Full-text PDF :100
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024