A. S. Mishchenko, “Homotopy invariants of nonsimply connected manifolds. II: Simple homotopy type”, Math. USSR-Izv., 5:3 (1971), 668

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Mathematics of the USSR-Izvestiya, 1971, Volume 5, Issue 3, Pages 668–679
DOI: https://doi.org/10.1070/IM1971v005n03ABEH001100 (Mi im2030)

This article is cited in 6 scientific papers (total in 7 papers)

Homotopy invariants of nonsimply connected manifolds. II: Simple homotopy type

A. S. Mishchenko

English version PDF (581 kB) Citations (7) Russian version article

References:

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DOI: https://doi.org/10.1070/IM1971v005n03ABEH001100

Abstract: The relation between the surgery obstruction group for a nonsimply connected manifold up to homotopy type and the surgery obstruction group up to simple homotopy equivalence is investigated.

Received: 18.06.1970

Bibliographic databases:

Document Type: Article

UDC: 513.8

MSC: Primary 57D65; Secondary 57C10

Language: English

Original paper language: Russian

Citation: A. S. Mishchenko, “Homotopy invariants of nonsimply connected manifolds. II: Simple homotopy type”, Math. USSR-Izv., 5:3 (1971), 668–679

Citation in format AMSBIB

\Bibitem{Mis71}

\by A.~S.~Mishchenko

\paper Homotopy invariants of nonsimply connected manifolds.~II: Simple homotopy type

\jour Math. USSR-Izv.

\yr 1971

\vol 5

\issue 3

\pages 668--679

\mathnet{http://mi.mathnet.ru/eng/im2030}

\crossref{https://doi.org/10.1070/IM1971v005n03ABEH001100}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=293657}

\zmath{https://zbmath.org/?q=an:0216.19702}

Linking options:

https://www.mathnet.ru/eng/im2030

https://doi.org/10.1070/IM1971v005n03ABEH001100

https://www.mathnet.ru/eng/im/v35/i3/p655

Cycle of papers

Homotopy invariants of nonsimply connected manifolds. I. Rational invariants
A. S. Mishchenko
Izv. Akad. Nauk SSSR Ser. Mat., 1970, 34:3, 501–514
Homotopy invariants of nonsimply connected manifolds. II: Simple homotopy type
A. S. Mishchenko
Izv. Akad. Nauk SSSR Ser. Mat., 1971, 35:3, 655–666
Homotopy invariants of nonsimply connected manifolds. III. Higher signatures
A. S. Mishchenko
Izv. Akad. Nauk SSSR Ser. Mat., 1971, 35:6, 1316–1355

This publication is cited in the following 7 articles:

Th. Yu. Popelensky, “Algebraic and Homological Aspects of Hermitian $K$ -Theory”, Proc. Steklov Inst. Math., 325 (2024), 230–261
A. A. Bolibrukh, A. A. Irmatov, M. I. Zelikin, O. B. Lupanov, V. M. Maynulov, E. F. Mishchenko, M. M. Postnikov, Yu. P. Solov'ev, E. V. Troitskii, “Aleksandr Sergeevich Mishchenko (on his 60th birthday)”, Russian Math. Surveys, 56:6 (2001), 1187–1191
S. V. Lapin, “Bordism groups of Poincare $E_\infty$ -coalgebras and symmetric $L$ -groups”, Sb. Math., 186:7 (1995), 1023–1055
A. S. Mishchenko, “Hermitian $K$ -theory. The theory of characteristic classes and methods of functional analysis”, Russian Math. Surveys, 31:2 (1976), 71–138
L. N. Vaserstein, “Foundations of algebraic $K$ -theory”, Russian Math. Surveys, 31:4 (1976), 89–156
A. S. Mishchenko, “Infinite-dimensional representations of discrete groups, and higher signatures”, Math. USSR-Izv., 8:1 (1974), 85–111
A. S. Mishchenko, “Homotopy invariants of nonsimply connected manifolds. III. Higher signatures”, Math. USSR-Izv., 5:6 (1971), 1325–1364

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Известия Академии наук СССР. Серия математическая

Statistics & downloads:
Abstract page:	490
Russian version PDF:	137
English version PDF:	18
References:	74
First page:	3

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