A remark on elimination of singularities for mappings of 4-manifolds into 3-manifolds.

DOI10.1016/S0166-8641(02)00263-8zbMath1034.57028MaRDI QIDQ1398190

Rustam Sadykov, Peter M. Akhmetiev

Publication date: 29 July 2003

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

obstructionsThom polynomialsfold mapelimination of singularitiesexistence of a fold embedding

Mathematics Subject Classification ID

Embeddings in differential topology (57R40) Singularities of differentiable mappings in differential topology (57R45) Global theory of complex singularities; cohomological properties (32S20) Global theory of singularities (58K30) Critical points of functions and mappings on manifolds (58K05)

Related Items (3)

Elimination of singularities of smooth mappings of 4-manifolds into 3-manifolds ⋮ The chess conjecture ⋮ Self-intersection class for singularities and its application to fold maps

Cites Work

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• Les singularités des applications différentiables
• Classifying immersions into \({\mathbb{R}}^ 4\) over stable maps of 3- manifolds into \({\mathbb{R}}^ 2\)
• Erratum to ``On the elimination of Morin singularities
• Notes on the topology of folds
• An extension of Whitney's congruence

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