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Cobordisms of embeddings of oriented five-dimensional manifolds in Euclidean space

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Abstract

The groups EΩ5,k of cobordism classes of embeddings of oriented five-dimensional manifolds in 5+ k-dimensional Euclidean space are studied. It is proved that EΩ5,3≅ℤ2 and EΩ5,4≅ℤ2⊕ℤ2 and specific generators are given. Bibliography: 5 titles.

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Authors
  1. M. Yu. Zvagel’skii
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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 231, 1995, pp. 148–168.

Translated by N. Yu. Netsvetaev.

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Zvagel’skii, M.Y. Cobordisms of embeddings of oriented five-dimensional manifolds in Euclidean space. J Math Sci 91, 3425–3439 (1998). https://doi.org/10.1007/BF02434919

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  • DOI: https://doi.org/10.1007/BF02434919

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