No immersed 2-knot with at most one self-intersection point has triple point number two or three

DOI10.1016/j.topol.2019.06.029zbMath1422.57065OpenAlexW2949833577WikidataQ127661899 ScholiaQ127661899MaRDI QIDQ2315326

Kengo Kawamura

Publication date: 2 August 2019

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

Full work available at URL: https://doi.org/10.1016/j.topol.2019.06.029

zbMATH Keywords

diagramtriple point numberimmersed surface-knotsingular surface-knot

Mathematics Subject Classification ID

Related Items (1)

Topology of fold map germs from \(\mathbb{R}^3\) to \(\mathbb{R}^5\)

Cites Work

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• Lifting a generic surface in 3-space to an embedded surface in 4-space
• Two filtrations of ribbon 2-knots
• The lower bound of the \(w\)-indices of non-ribbon surface-links
• On simply knotted spheres in \(R^ 4\)
• No 2-knot has triple point number two or three
• On non-orientable surfaces in 4-space which are projected with at most one triple point
• Alexander numbering of knotted surface diagrams
• No surface-knot of genus one has triple point number two

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