Non-embeddability of manifolds into projective spaces
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.
scientific article; zbMATH DE number 1679668