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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. 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

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.

UDC: 515.164

Received: 15.06.1995


 English version:
Journal of Mathematical Sciences (New York), 1998, 91:6, 3425–3439

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