Triple chords and strong (1, 2) homotopy

DOI10.2969/jmsj/06820637zbMath1341.57003arXiv2005.10551OpenAlexW3102411166MaRDI QIDQ296537

Yusuke Takimura, Noboru Ito

Publication date: 23 June 2016

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.10551

zbMATH Keywords

knot projectionsspherical curvesstrong (1, 2) homotopytriple chords

Mathematics Subject Classification ID

Embeddings and immersions in PL-topology (57Q35)

Related Items (6)

Crosscap number and knot projections ⋮ When can a link be obtained from another using crossing exchanges and smoothings? ⋮ Crosscap number of knots and volume bounds ⋮ Knot projections with reductivity two ⋮ A lower bound of crosscap numbers of alternating knots ⋮ Any nontrivial knot projection with no triple chords has a monogon or a bigon

Cites Work

• Strong and weak \((1,3)\) homotopies on knot projections
• The reductivity of spherical curves
• LUNE-FREE KNOT GRAPHS
• Doodle groups
• THE HALF-TWISTED SPLICE OPERATION ON REDUCED KNOT PROJECTIONS
• PLANE CURVES IN AN IMMERSED GRAPH IN ℝ²
• (1, 2) AND WEAK (1, 3) HOMOTOPIES ON KNOT PROJECTIONS

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