
Answered is a question asked by Daverman, Bull. Amer. Math. Soc. 84 (1978), 377-405. It is whether a 2-sphere Σ \Sigma is tame if each isotopy on Σ \Sigma extends to an isotopy of E 3 {E^3} ?
Isotopy and pseudo-isotopy, Flatness and tameness of topological manifolds, Topology of the Euclidean \(n\)-space, \(n\)-manifolds (\(4 \leq n \leq \infty\)), Isotopy Extension, Topology of the Euclidean \(3\)-space and the \(3\)-sphere, Locally Flat Embeddings, \(S^{n-1}\subset E^n\), Schoenflies problem
Isotopy and pseudo-isotopy, Flatness and tameness of topological manifolds, Topology of the Euclidean \(n\)-space, \(n\)-manifolds (\(4 \leq n \leq \infty\)), Isotopy Extension, Topology of the Euclidean \(3\)-space and the \(3\)-sphere, Locally Flat Embeddings, \(S^{n-1}\subset E^n\), Schoenflies problem
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