Approximating codimension \(\geq 3\) \(\sigma\)-compacta with locally homotopically unknotted embeddings

DOI10.1016/0166-8641(86)90052-0zbMath0604.57013OpenAlexW1970444418MaRDI QIDQ1083071

Robert D. Edwards

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0166-8641(86)90052-0

zbMATH Keywords

gropedouble suspension of a homology sphereembedding approximationembedding of a compactum into Euclidean spacelocally homotopically l-co-connectedlocally homotopically unknottednon-locally compact \(\sigma \)-compact subsets of topological manifoldsp-LCC

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Isotopy and pseudo-isotopy (57N37) Cellularity in topological manifolds (57N60)

Related Items (3)

n-QUASI-ISOTOPY I: QUESTIONS OF NILPOTENCE ⋮ Topologically, quasiconformally or Lipschitz locally flat approximation of embeddings ⋮ On maps with unstable singularities

Cites Work

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• On topological infinite deficiency
• Heegaard-Zerlegungen der 3-Sphäre
• Approximating codimension 3 embeddings
• On embeddings of 1-dimensional compacta in \(E^ 5\)
• Imbedding of compact metric spaces into cubes
• Pushing an (\(n\) - 1)-sphere in S\(^n\) almost into its complement
• A homeomorphism between the 3-sphere and the sum of two solid horned spheres
• A General Proof of Bing's Shrinkability Criterion
• A Criterion for Cellularity in a Manifold. II
• LOCALLY NICE EMBEDDINGS OF POLYHEDRA
• Each Disk in E 3 Contains a Tame Arc
• Tangled Embeddings of One-Dimensional Continua
• On Embeddings of Compacta in Euclidean Space
• Ein eindimensionales Kompaktum in $E^3$, das sich nicht lagetreu in die Mengersche Universalkurve einbetten läβt
• Tame Arcs on Wild Cells
• THE EMBEDDING OF COMPACTA IN EUCLIDEAN SPACE
• Locally nice codimension one manifolds are locally flat
• On the scarcity of tame disks in certain mild cells
• Approximating Embeddings of Polyhedra In Codimension Three
• Almost locally flat embeddings of 𝑆ⁿ⁻¹ in 𝑆ⁿ
• Local Connection in Locally Compact Spaces
• Higher-Dimensional Hereditarily Indecomposable Continua
• Uniform Local Connectedness and Contractibility

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