Embeddings of (𝑛-1)-spheres in Euclidean 𝑛-space
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Publication:4172660
DOI10.1090/S0002-9904-1978-14476-0zbMath0391.57014OpenAlexW1538527812MaRDI QIDQ4172660
Publication date: 1978
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9904-1978-14476-0
Embeddings and immersions in topological manifolds (57N35) Triangulating manifolds (57Q15) Embeddings and immersions in PL-topology (57Q35) Wild embeddings (57M30) Flatness and tameness of topological manifolds (57N45) (S^{n-1}subset E^n), Schoenflies problem (57N50) Neighborhoods of submanifolds (57N40) Engulfing (57Q30)
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Cites Work
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- Approximating surfaces with polyhedral ones
- Generalized Poincaré's conjecture in dimensions greater than four
- \(n\)-space modulo an arc
- Embeddings with mapping cylinder neighborhoods
- Complementary 1-ULC properties for 3-spheres in 4-space
- Special approximations to embeddings of codimension one spheres
- Every crumpled n-cube is a closed n-cell-complement
- The locally flat approximation of cell-like embedding relations
- Approximating polyhedra in codimension one spheres embedded in S\(^n\) by tame polyhedra
- Wild cells and spheres in higher dimensions
- Criteria for a 2-sphere in \(S^ 3\) to be tame modulo two points
- Concerning uncountable families of \(n\)-cells in \(E^ n\)
- On the set of non-locally flat points of a submanifold of codimensional one
- Approximating cellular maps by homeomorphisms
- The sum of solid spheres
- Embeddings of surfaces in \(E^ 3\)
- Pushing an (\(n\) - 1)-sphere in S\(^n\) almost into its complement
- Factored codimension one cells in Euclidean n-space
- Approximating surfaces from the side
- Approximating stable homeomorphisms by piecewise linear ones
- Pushing a 2-sphere into its complement
- A criterion for cellularity in a manifold
- Some wild cells and spheres in three-dimensional space
- Generalization of a construction of Antoine
- Conditions under which a surface in $E^3$ is tame
- On the Polyhedral Schoenflies Theorem
- A Surface Is Tame If Its Complement is 1-ULC
- Approximating certain cell-like maps by homeomorphisms
- Somewhere Locally Flat Codimension one Manifolds with 1-ULC Complements are Locally Flat
- Wild Spheres in E n that are Locally Flat Modulo Tame Cantor Sets
- Embeddings of surfaces in euclidean three-space
- Singular Regular Neighborhoods and Local Flatness in Codimension One
- Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
- Cross sectionally simple spheres can be wild
- Characterizations of Tame Surfaces in E 3
- A Surface in S 3 is Tame if it Can be Deformed Into Each Complementary Domain
- Some Results on Crumpled Cubes
- LOCALLY NICE EMBEDDINGS OF POLYHEDRA
- The union of flat (𝑛-1)-balls is flat in 𝑅ⁿ
- Locally Weakly Flat Spaces
- Each Disk in E 3 Contains a Tame Arc
- On Homotopy Tori II
- Taming a Surface by Piercing with Disks
- Embedding Cantor sets in a manifold, Part II: An extension theorem for homeomorphisms on Cantor sets
- A proof of the slicing theorem for 2-spheres
- On the triangulation of manifolds and the Hauptvermutung
- Cross sectionally simple spheres
- Collaring an (n - 1)-Manifold in an n-Manifold
- Characterization of Taming Sets on 2-Spheres
- Surfaces of vertical order 3 are tame
- SOME LOCAL FLATNESS CRITERIA FOR LOW CODIMENSIONAL SUBMANIFOLDS
- LOCALLY NICE EMBEDDINGS IN CODIMENSION THREE
- Tame Polyhedra in Wild Cells and Spheres
- A New Proof of Brown's Collaring Theorem
- Tame Arcs on Wild Cells
- A Class of Embeddings of S n-1 and B n in R n
- Repairing Embeddings of 3-Cells with Monotone Maps of E 3 (1)
- Slicing Theorems for n-Spheres in Euclidean (n + 1)-Space
- Characterization of Tame Subsets of 2-Spheres in E 3
- ULC Properties in Neighbourhoods of Embedded Surfaces and Curves in E3
- A New Characterization of Tame 2-Spheres in E 3
- Locally nice codimension one manifolds are locally flat
- On the scarcity of tame disks in certain mild cells
- An Example of a Wild (n - 1)-Sphere in S n in Which Each 2-Complex is Tame
- A positional characterization of the (n-1)-dimensional Sierpiński curve in $S^n$ (η ≠ 4)
- A Generalization of the Dog Bone Space to E n
- Retractions Onto Spheres
- Almost locally flat embeddings of 𝑆ⁿ⁻¹ in 𝑆ⁿ
- Some Topological Properties of Convex Sets
- On embeddings of spheres
- Locally flat imbeddings of topological manifolds
