Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Sbornik, 1971, Volume 13, Issue 2, Pages 297–307
DOI: https://doi.org/10.1070/SM1971v013n02ABEH001026 (Mi sm3074) 		 
This article is cited in 50 scientific papers (total in 50 papers)

The topology of basis sets for Smale diffeomorphisms

R. V. Plykin
English version PDF (854 kB) Citations (50) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1971v013n02ABEH001026
Abstract: Diffeomorphisms of a closed surface are considered which satisfy Smale's axiom $A$ and an acyclicity condition. It is shown that if one of its basis sets is one-dimensional, then there is also a zero-dimensional source or sink. As a preliminary, some auxiliary propositions of general character are established concerning sources and sinks of diffeomorphisms satisfying the axiom and the condition above.
Bibliography: 10 titles.
Received: 11.04.1970
Bibliographic databases:
UDC: 513.83
MSC: Primary 58F15; Secondary 28A65, 34C35, 54H20
Language: English
Original paper language: Russian
Citation: R. V. Plykin, “The topology of basis sets for Smale diffeomorphisms”, Math. USSR-Sb., 13:2 (1971), 297–307
Citation in format AMSBIB
\Bibitem{Ply71}
\by R.~V.~Plykin
\paper The topology of basis sets for Smale diffeomorphisms
\jour Math. USSR-Sb.
\yr 1971
\vol 13
\issue 2
\pages 297--307
\mathnet{http://mi.mathnet.ru//eng/sm3074}
\crossref{https://doi.org/10.1070/SM1971v013n02ABEH001026}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=286134}
\zmath{https://zbmath.org/?q=an:0211.56301|0238.58011}
Linking options:
  • https://www.mathnet.ru/eng/sm3074
  • https://doi.org/10.1070/SM1971v013n02ABEH001026
  • https://www.mathnet.ru/eng/sm/v126/i2/p301
    • This publication is cited in the following 50 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024