Non-embeddability of manifolds into projective spaces (Q2758291)
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scientific article; zbMATH DE number 1679668
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-embeddability of manifolds into projective spaces |
scientific article; zbMATH DE number 1679668 |
Statements
27 June 2002
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Stiefel-Whitney classes
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embedding
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Non-embeddability of manifolds into projective spaces (English)
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The following theorem is proved. For each \(n\) there exists an \(n\)-dimensional compact manifold \(M\), and a map \(f\) of \(M\) into the \((2n-1)\)-dimensional real projective space \(P^{2n-1}\), such that \(f\) is not homotopic to an embedding.
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