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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 231, Pages 148–168 (Mi znsl3746)  
Topology of manifolds and varieties

Cobordisms of embeddings of oriented five-manifolds in Euclidean space

M. Yu. Zvagel'skii

Saint-Petersburg State University
Full-text PDF (822 kB)
Abstract: The groups $E\Omega_{5,k}$ of cobordism classes of embeddings of oriented five-dimensional manifolds in $5+k$-dimensional Euclidean space are studied. It is proved that $E\Omega_{5,3}\simeq\mathbb Z_2$ and $E\Omega_{5,4}\simeq\mathbb Z_2\oplus\mathbb Z_2$ and specific generators are given. Bibl. 5 titles.
Received: 15.06.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 91, Issue 6, Pages 3425–3439
DOI: https://doi.org/10.1007/BF02434919
Bibliographic databases:
Document Type: Article
UDC: 515.164
Language: Russian
Citation: M. Yu. Zvagel'skii, “Cobordisms of embeddings of oriented five-manifolds in Euclidean space”, Investigations in topology. Part 8, Zap. Nauchn. Sem. POMI, 231, POMI, St. Petersburg, 1995, 148–168; J. Math. Sci. (New York), 91:6 (1998), 3425–3439
Citation in format AMSBIB
\Bibitem{Zva95}
\by M.~Yu.~Zvagel'skii
\paper Cobordisms of embeddings of oriented five-manifolds in Euclidean space
\inbook Investigations in topology. Part~8
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 231
\pages 148--168
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3746}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1434289}
\zmath{https://zbmath.org/?q=an:0907.57024|0886.57026}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 91
\issue 6
\pages 3425--3439
\crossref{https://doi.org/10.1007/BF02434919}
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