Mathematics of the USSR-Izvestiya
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


Mathematics of the USSR-Izvestiya, 1975, Volume 9, Issue 3, Pages 577–598
DOI: https://doi.org/10.1070/IM1975v009n03ABEH001491
(Mi im2043)
 

Smooth knots in a manifold of homotopy type K(π,1)

S. G. Smirnov
References:
Abstract: The author studies the set Iso(Sm,Mn) of smooth isotopy classes of embeddings of a sphere Sm in a manifold Mn having homotopy type K(π,1), where 1<m<n2. He obtains an explicit expression for Iso(Sm,Mn) in terms of the group π=π1(Mn) and the well-known Haefliger groups of knots and finite links of the sphere Sm in Rn.
Bibliography: 7 items.
Received: 05.07.1973
Revised: 16.01.1975
Bibliographic databases:
UDC: 513.83
MSC: Primary 57C45; Secondary 57D40
Language: English
Original paper language: Russian
Citation: S. G. Smirnov, “Smooth knots in a manifold of homotopy type K(π,1)”, Math. USSR-Izv., 9:3 (1975), 577–598
Citation in format AMSBIB
\Bibitem{Smi75}
\by S.~G.~Smirnov
\paper Smooth knots in a~manifold of homotopy type~$K(\pi,1)$
\jour Math. USSR-Izv.
\yr 1975
\vol 9
\issue 3
\pages 577--598
\mathnet{http://mi.mathnet.ru/eng/im2043}
\crossref{https://doi.org/10.1070/IM1975v009n03ABEH001491}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=400248}
\zmath{https://zbmath.org/?q=an:0327.57013}
Linking options:
  • https://www.mathnet.ru/eng/im2043
  • https://doi.org/10.1070/IM1975v009n03ABEH001491
  • https://www.mathnet.ru/eng/im/v39/i3/p610
  • This publication is cited in the following 1 articles:
    1. S. G. Smirnov, “Immersions and embeddings of smooth manifolds”, Russian Math. Surveys, 34:6 (1979), 230–234  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:250
    Russian version PDF:83
    English version PDF:14
    References:69
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025