Fold Maps from the Sphere to the Plane

DOI10.1080/10586458.2006.10128973zbMath1133.57019OpenAlexW2044085757MaRDI QIDQ5308237

Derek Hacon, María Carmen Romero Fuster, C. Mendes de Jesus

Publication date: 27 September 2007

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1175789783

zbMATH Keywords

stable map, map from sphere to the plane, fold map, graph of tree type

Mathematics Subject Classification ID

Surgery and handlebodies (57R65) Relations of low-dimensional topology with graph theory (57M15) Singularities of differentiable mappings in differential topology (57R45) Isotopy in differential topology (57R52) Topological properties of mappings on manifolds (58K15)

Related Items (11)

Views of Real Projective 3-Space by Stable Maps into the Plane ⋮ Stable maps from surfaces to the plane with prescribed branching data ⋮ Graphs of stable maps between closed orientable surfaces ⋮ Global topological invariants of stable maps from 3-manifolds to \(\mathbb R^{3}\) ⋮ Gauss words and the topology of map germs from \(\mathbb{R}^3\) to \(\mathbb{R}^3\) ⋮ Graphs of stable maps from closed surfaces to the projective plane ⋮ On the cusped fan in a planar portrait of a manifold ⋮ First-order local invariants of stable maps from 3-manifolds to \(\mathbb R^{3}\) ⋮ Stable Gauss maps from a global viewpoint ⋮ Graphs of stable maps from 3-manifolds to 3-space ⋮ Topological classification of corank 1 map germs from \(\mathbb R^3\) to \(\mathbb R^3\)

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