Obstructions to the extension problem of Sobolev mappings

DOI10.12775/TMNA.2003.021zbMath1035.46045OpenAlexW2547058372MaRDI QIDQ1411266

Takeshi Isobe

Publication date: 27 October 2003

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2003.021

zbMATH Keywords

extension problemSobolev mappingstrace spacesobstruction theory.

Mathematics Subject Classification ID

Homotopy extension properties, cofibrations in algebraic topology (55P05) Distributions and generalized functions on nonlinear spaces (46T30) Obstruction theory in algebraic topology (55S35) Manifolds of mappings (58D15) Manifolds of mappings (46T10) Extension and compression of mappings in algebraic topology (55S36)

Related Items (4)

The homological singularities of maps in trace spaces between manifolds ⋮ A new obstruction to the extension problem for Sobolev maps between manifolds ⋮ Trace theory for Sobolev mappings into a manifold ⋮ Quantitative characterization of traces of Sobolev maps

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