Each crumpled 4-cube is a closed 4-cell-complement

DOI10.1016/0166-8641(87)90061-7zbMath0617.57010OpenAlexW1992264045MaRDI QIDQ1822099

Robert J. Daverman

Publication date: 1987

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(87)90061-7

zbMATH Keywords

Sierpinski curveembedding dimension1-LCC4-cellclosed n-cell-complementcrumpled 4-cubecrumpled n-cubelocally flat approximation theorem for embeddings of (n-1)-manifolds in n-manifoldswildness of an (n-1)-sphere topologically embedded in the n-sphere

Mathematics Subject Classification ID

Related Items (3)

Resolving wild embeddings of codimension-one manifolds in manifolds of dimensions greater than 3 ⋮ Sewings of crumpled cubes revisited ⋮ A Collaring Theorem for Codimension one Manifolds

Cites Work

• Ends of maps. III: Dimensions 4 and 5
• Complementary 1-ULC properties for 3-spheres in 4-space
• Every crumpled n-cube is a closed n-cell-complement
• The locally flat approximation of cell-like embedding relations
• Few sewings of certain crumpled \(n\)-cubes yield \(S^n\)
• Pushing an (\(n\) - 1)-sphere in S\(^n\) almost into its complement
• Pushing a 2-sphere into its complement
• Non-planar embeddings of planar sets in $E^3$
• Some Results on Crumpled Cubes
• THE EMBEDDING OF COMPACTA IN EUCLIDEAN SPACE
• A positional characterization of the (n-1)-dimensional Sierpiński curve in $S^n$ (η ≠ 4)

This page was built for publication: Each crumpled 4-cube is a closed 4-cell-complement