Generalizing the rattle theorem

DOI10.1016/0166-8641(87)90062-9zbMath0622.57005OpenAlexW2075479072MaRDI QIDQ1090976

L. D. Loveland

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)90062-9

zbMATH Keywords

wild spherescrumpled cubeFox-Artin wild arcinterior tangent ballsrattle theoremtame from its interiortame spherestouching spheres with cones

Mathematics Subject Classification ID

Wild embeddings (57M30) Flatness and tameness of topological manifolds (57N45)

Cites Work

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• Wild double tangent ball embeddings of spheres in \(E^ n\)
• Wildness and flatness of codimension one spheres having double tangent balls
• Double tangent ball embeddings of curves in \(E^ 3\).
• Codimension one spheres in \(R^ n\) with double tangent balls
• Embeddings of surfaces in \(E^ 3\)
• Any 2-Sphere in E³ with Uniform Interior Tangent Balls is Flat
• Unions of Cells with Applications to Visibility
• Geometric Taming of Compact in E n
• Properties of Certain Types of Wild Surfaces in E 3
• A Surface in S 3 is Tame if it Can be Deformed Into Each Complementary Domain
• Spheres Uniformly Wedged Between Balls are Tame in E 3
• Differenzierbare Flächen sind zahm
• A Surface in E 3 is Tame if it has Round Tangent Balls
• Spheres in E 3
• A Wild Sphere which can be Pierced at each Point by a Straight Line Segment

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