The Fox property for codimension one embeddings of products of three spheres into spheres

DOI10.2140/agt.2011.11.3043zbMath1244.57051OpenAlexW1982130765MaRDI QIDQ658405

Laércio Aparecido Lucas, Osamu Saeki

Publication date: 12 January 2012

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/agt.2011.11.3043

zbMATH Keywords

smooth embeddingproduct of spheresAlexander propertyAlexander torus theorem.Fox property

Mathematics Subject Classification ID

Embeddings in differential topology (57R40)

Cites Work

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• Generalized Poincaré's conjecture in dimensions greater than four
• Dehn's lemma and handle decompositions of some 4-manifolds
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• Embeddings of \(S^p\times S^q\times S^r\) in \(S^{p+q+r+1}\).
• On Fox's property of a surface in a 3-manifold
• Piecewise linear unknotting of \(S^ p\times S^ q\) in \(S^{p+q+1}\)
• Groups of homotopy spheres. I
• On the imbedding of polyhedra in 3-space
• A proof of the generalized Schoenflies theorem
• Killing the Middle Homotopy Groups of Odd Dimensional Manifolds

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