Embedding Phenomena Based upon Decomposition Theory: Locally Spherical but Wild Codimension one Spheres

DOI10.2307/2044685zbMath0546.57004OpenAlexW4248999600MaRDI QIDQ3336384

Robert J. Daverman

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2044685

zbMATH Keywords

decompositions of manifoldswild embeddingslocally flat codimension one spherelocally spherical embedding

Mathematics Subject Classification ID

Quotient spaces, decompositions in general topology (54B15) Wild embeddings (57M30) Flatness and tameness of topological manifolds (57N45) (S^{n-1}subset E^n), Schoenflies problem (57N50)

Cites Work

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• A characterization of tame surfaces in three space
• Shrinking cell-like decompositions of manifolds. Codimension three
• Embeddings with mapping cylinder neighborhoods
• The engulfing theorem for topological manifolds
• The Vietoris mapping theorem for bicompact spaces
• Somewhere Locally Flat Codimension one Manifolds with 1-ULC Complements are Locally Flat
• Embedding Phenomena Based upon Decomposition Theory: Wild Cantor Sets Satisfying Strong Homogeneity Properties
• Characterizations of Tame Surfaces in E 3
• Tame Surfaces and Tame Subsets of Spheres in E 3
• Locally Weakly Flat Spaces
• A Note about Locally Spherical Spheres
• Characterization of Taming Sets on 2-Spheres
• Mapping Cylinder Neighborhoods
• ULC Properties in Neighbourhoods of Embedded Surfaces and Curves in E³
• Locally nice codimension one manifolds are locally flat
• Some Topological Properties of Convex Sets

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