Deformation of maps to branched coverings in dimension three

DOI10.1007/BF01673511zbMath0406.57003MaRDI QIDQ1257705

Allan L. Edmonds

Publication date: 1979

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163322

zbMATH Keywords

DegreeBranched CoveringClosed Orientable 3-ManifoldsEpimorphisms of Fundamental GroupsHomotopic to a Piecewise Linear Open Map

Mathematics Subject Classification ID

Low-dimensional topology of special (e.g., branched) coverings (57M12) Cobordism and concordance in topological manifolds (57N70) Approximations in PL-topology (57Q55)

Related Items

The preimages of submanifolds ⋮ Bubbling of quasiregular maps ⋮ On the nonexistence of certain branched covers ⋮ Branched coverings of simply connected manifolds ⋮ Maps Between Surfaces ⋮ Mappings of finite distortion: compactness of the branch set

Cites Work

• On regular homotopy of branched coverings of the sphere
• Deformation of maps to branched coverings in dimension two
• A splitting theorem for manifolds
• Block bundles. II: Transversality
• Monotone and Open Mappings on Manifolds. I
• THREE-MANIFOLDS AS 3-FOLD BRANCHED COVERS OF S³
• Three-Fold Branched Coverings of S 3
• On the Construction of Branched Coverings of Low-Dimensional Manifolds
• The Degree of a Map
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