Another universality property for crumpled cubes

DOI10.1016/0166-8641(82)90032-3zbMath0485.57010OpenAlexW2070023448MaRDI QIDQ1164295

Robert J. Daverman

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0166-8641(82)90032-3

zbMATH Keywords

disjoint disks propertysewing of two crumpled n-cubesunusually embedded wild (n-1)-sphere in an n-sphere

Mathematics Subject Classification ID

Generalized manifolds (57P99) Flatness and tameness of topological manifolds (57N45) (S^{n-1}subset E^n), Schoenflies problem (57N50) Cellularity in topological manifolds (57N60)

Cites Work

• Unnamed Item
• On cells in Euclidean space that cannot be squeezed
• 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
• Few sewings of certain crumpled \(n\)-cubes yield \(S^n\)
• Pushing an (\(n\) - 1)-sphere in S\(^n\) almost into its complement
• Generalization of a construction of Antoine
• Weak flatness criteria for codimension 2 spheres in codimension 1 manifolds
• Embeddings of (𝑛-1)-spheres in Euclidean 𝑛-space
• Embedding Cantor sets in a manifold, Part II: An extension theorem for homeomorphisms on Cantor sets
• ULC Properties in Neighbourhoods of Embedded Surfaces and Curves in E³
• On the scarcity of tame disks in certain mild cells
• Taming Cantor sets in 𝐸ⁿ

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