Dynamically defined wild knots and Othoniel's My Way

DOI10.1080/17513472.2018.1506615zbMath1428.00025OpenAlexW2944605513MaRDI QIDQ5210604

Martha Mendoza, Gabriela Hinojosa, Juan Pablo Díaz, Alberto Verjovsky

Publication date: 21 January 2020

Published in: Journal of Mathematics and the Arts (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513472.2018.1506615

zbMATH Keywords

dynamical systemself-similar fractalsreflectionsinversionswild knotsglass beaded Othoniel's knotsOthoniel's Lacan's Knot

Mathematics Subject Classification ID

Group actions on manifolds and cell complexes in low dimensions (57M60) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Mathematics and visual arts (00A66) Knot theory (57K10)

Cites Work

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• Homogeneity of dynamically defined wild knots
• A WILD KNOT 𝕊²↪ 𝕊⁴AS LIMIT SET OF A KLEINIAN GROUP: INDRA'S PEARLS IN FOUR DIMENSIONS
• Wild knots in higher dimensions as limit sets of Kleinian groups

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