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Fold maps on 4-manifolds

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Publication:1417432
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DOI10.1007/s00014-003-0758-9zbMath1047.57017OpenAlexW2021104839MaRDI QIDQ1417432

Osamu Saeki

Publication date: 5 January 2004

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00014-003-0758-9


zbMATH Keywords

vector field4-manifoldstable mapembedded surfacecharacteristic classhomotopy principlefold map


Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Singularities of differentiable mappings in differential topology (57R45)


Related Items

Elimination of singularities of smooth mappings of 4-manifolds into 3-manifolds ⋮ Stable maps from surfaces to the plane with prescribed branching data ⋮ Fibration of classifying spaces in the cobordism theory of singular maps ⋮ Fold maps on small dimensional manifolds with prescribed singular set ⋮ Singular maps on exotic 4-manifold pairs ⋮ On the vector field problem for \(O(n)/O(1)\times O(1)\times O(n-2)\) ⋮ Self-intersection class for singularities and its application to fold maps ⋮ Singular fibers of stable maps and signatures of 4-manifolds ⋮ On self-intersection of singularity sets of fold maps ⋮ Fold cobordisms and a Poincaré-Hopf-type theorem for the signature



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