Let \(M\) be an \(n\)-manifold. Prove that \(M\) is not a \(k\)-manifold for any \(k\ne n\).
The dimension of a manifold is intrinsic
P-QUAL-REVIEW-HATCHER-12
- Area
- Topology
- Status
- draft
P-QUAL-REVIEW-HATCHER-12
Let \(M\) be an \(n\)-manifold. Prove that \(M\) is not a \(k\)-manifold for any \(k\ne n\).