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Funktsional'nyi Analiz i ego Prilozheniya, 2004, Volume 38, Issue 1, Pages 16–33
DOI: https://doi.org/10.4213/faa93 (Mi faa93) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Three-Page Embeddings of Singular Knots

V. V. Vershininab, V. A. Kurlinc

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Universite Montpellier II
c M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (287 kB) Citations (6)
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DOI: https://doi.org/10.4213/faa93
Abstract: A semigroup with 15 generators and 84 relations is constructed. The center of the semigroup is in a one-to-one correspondence with the set of all isotopy classes of nonoriented singular knots (links with finitely many double intersections in general position) in $\mathbb{R}^3$.
Keywords: isotopy classification, singular knot, three-page embedding, universal semigroup, knotted graph.
Received: 27.09.2002
English version:
Functional Analysis and Its Applications, 2004, Volume 38, Issue 1, Pages 14–27
DOI: https://doi.org/10.1023/B:FAIA.0000024864.64045.de
Bibliographic databases:
Document Type: Article
UDC: 515.162.8
Language: Russian
Citation: V. V. Vershinin, V. A. Kurlin, “Three-Page Embeddings of Singular Knots”, Funktsional. Anal. i Prilozhen., 38:1 (2004), 16–33; Funct. Anal. Appl., 38:1 (2004), 14–27
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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