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Mathematics of the USSR-Sbornik, 1982, Volume 41, Issue 4, Pages 481–494
DOI: https://doi.org/10.1070/SM1982v041n04ABEH002243 (Mi sm2822) 		 
Homotopy self-equivalences of highly connected manifolds

V. E. Kolosov
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DOI: https://doi.org/10.1070/SM1982v041n04ABEH002243
Abstract: In this paper the sequence of Kahn is proved to decompose by almost diffeomorphisms, if the dimension of the manifold is not divisible by 8. The structure of the group of homotopy self-equivalences of $S^n\times S^n$ is calculated.
Application of the bijection of Sullivan yields additional information.
Bibliography: 13 titles.
Received: 16.05.1979
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1980, Volume 113(155), Number 4(12), Pages 582–597
Bibliographic databases:
UDC: 513.836
MSC: Primary 57R65; Secondary 55P10
Language: English
Original paper language: Russian
Citation: V. E. Kolosov, “Homotopy self-equivalences of highly connected manifolds”, Mat. Sb. (N.S.), 113(155):4(12) (1980), 582–597; Math. USSR-Sb., 41:4 (1982), 481–494
Citation in format AMSBIB
\Bibitem{Kol80}
\by V.~E.~Kolosov
\paper Homotopy self-equivalences of highly connected manifolds
\jour Mat. Sb. (N.S.)
\yr 1980
\vol 113(155)
\issue 4(12)
\pages 582--597
\mathnet{http://mi.mathnet.ru/sm2822}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=602275}
\zmath{https://zbmath.org/?q=an:0484.57008|0458.57014}
\transl
\jour Math. USSR-Sb.
\yr 1982
\vol 41
\issue 4
\pages 481--494
\crossref{https://doi.org/10.1070/SM1982v041n04ABEH002243}
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    References:16
     
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