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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Circle immersions that can be divided into two arc embeddings
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by Kouki Taniyama PDF
Proc. Amer. Math. Soc. 138 (2010), 743-751 Request permission

Abstract:

We give a complete characterization of a circle immersion that can be divided into two arc embeddings in terms of its chord diagram.
References
  • C. Adams, R. Shinjo and K. Tanaka, Complementary regions of knot and link diagrams, arXiv:0812.2558 (2008).
  • T. Hagge, to appear.
  • Günter Hotz, Arkadenfadendarstellung von Knoten und eine neue Darstellung der Knotengruppe, Abh. Math. Sem. Univ. Hamburg 24 (1960), 132–148 (German). MR 111047, DOI 10.1007/BF02942026
  • M. Ozawa, Edge number of knots and links, arXiv:0705.4348 (2007).
  • R. Shinjo, Complementary regions of projections of spatial graphs, in preparation.
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Additional Information
  • Kouki Taniyama
  • Affiliation: Department of Mathematics, School of Education, Waseda University, Nishi-Waseda 1-6-1, Shinjuku-ku, Tokyo, 169-8050, Japan
  • Email: taniyama@waseda.jp
  • Received by editor(s): February 9, 2009
  • Received by editor(s) in revised form: April 2, 2009
  • Published electronically: October 1, 2009
  • Additional Notes: The author was partially supported by Grant-in-Aid for Scientific Research (C) (No. 18540101), Japan Society for the Promotion of Science.
  • Communicated by: Alexander N. Dranishnikov
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 138 (2010), 743-751
  • MSC (2000): Primary 57M99; Secondary 57M25, 57M27
  • DOI: https://doi.org/10.1090/S0002-9939-09-10140-5
  • MathSciNet review: 2557191