Spherical Curves that Bound Immersed Discs

DOI10.2307/2038821zbMath0281.57020OpenAlexW4230654844MaRDI QIDQ4766261

George K. Francis

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/2038821

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Obstruction theory in algebraic topology (55S35) Embeddings in differential topology (57R40) Classification theory of Riemann surfaces (30F20) Cobordism and concordance in topological manifolds (57N70)

Related Items (5)

On the four-vertex theorem ⋮ Bounding immersed curves ⋮ Branched and folded parametrizations of the sphere ⋮ Faces of the scl norm ball. ⋮ Combinatorial Floer Homology

Cites Work

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• On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
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• Light open mappings on a torus with a disk removed
• A theory of normal curves and some applications
• Branched and folded parametrizations of the sphere
• Extensions of Normal Immersions of S 1 into R 2
• The Folded Ribbon Theorem. A Contribution to the Study of Immersed Circles
• Interior and Polynomial Extensions of Immersed Circles
• Normal Curves Arising from Light Open Mappings of the Annulus
• Titus' Homotopies of Normal Curves
• Topological Methods in the Theory of Functions of a Complex Variable. (AM-15)
• Extensions to the disk of properly nested plane immersions of the circle

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