Cobordism group of fold maps of oriented 3-manifolds into the plane

DOI10.1007/s10474-007-5101-2zbMath1164.57011OpenAlexW2131400048MaRDI QIDQ950305

Boldizsár Kalmár

Publication date: 22 October 2008

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-007-5101-2

zbMATH Keywords

cobordismStein factorizationfold singularityfold mapPontryagin-Thom construction

Mathematics Subject Classification ID

(mathrm{O})- and (mathrm{SO})-cobordism (57R75) Singularities of differentiable mappings in differential topology (57R45)

Related Items (4)

Fibration of classifying spaces in the cobordism theory of singular maps ⋮ Classifying spaces for projections of immersions with controlled singularities ⋮ Cobordisms of maps with singularities of given class ⋮ Fold cobordisms and a Poincaré-Hopf-type theorem for the signature

Cites Work

• Unnamed Item
• Unnamed Item
• Cobordism groups of immersions with restricted self-intersection
• Classifying immersions into \({\mathbb{R}}^ 4\) over stable maps of 3- manifolds into \({\mathbb{R}}^ 2\)
• Vector fields and other vector bundle morphisms - a singularity approach
• On the cobordism group of Morin maps
• Pontrjagin-Thom-type construction for maps with singularities
• Cobordism group of Morse functions on surfaces
• Cobordism group of Morse functions on manifolds
• Topology of singular fibers of differentiable maps
• Topology of ∑1, 1-singular maps
• Bordism groups of special generic mappings
• Stable Maps of 3-Manifolds Into the Plane and their Quotient Spaces
• COBORDISM GROUP OF MORSE FUNCTIONS ON UNORIENTED SURFACES
• Cobordism groups of immersions

This page was built for publication: Cobordism group of fold maps of oriented 3-manifolds into the plane