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On ambiental bordism - MaRDI portal

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On ambiental bordism (Q1318176)

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scientific article; zbMATH DE number 537374
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English
On ambiental bordism
scientific article; zbMATH DE number 537374

    Statements

    On ambiental bordism (English)
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    25 August 1994
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    Let \(M^ n\) be a closed and oriented submanifold of a closed and oriented manifold \(N^ n\), \(n>m+1\), such that \([M,i]=0 \in \Omega_ m (N)\), where \(i:M \to N\) is the inclusion and \(\Omega_ m (N)\) is the \(m\)-th oriented bordism group of \(N\). If \(n=m+2\) or \(m \leq 3\) or \(m \leq 4\) and \(n \neq 7\) then \(M\) bounds in \(N\).
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    bordism of embeddings
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    closed and oriented submanifold of a closed and oriented manifold
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    bordism group
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