Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The 2-twist-spun trefoil has the triple point number four
HTML articles powered by AMS MathViewer

by Shin Satoh and Akiko Shima PDF
Trans. Amer. Math. Soc. 356 (2004), 1007-1024 Request permission

Abstract:

The triple point number of an embedded surface in 4-space is the minimal number of the triple points on all the projection images into 3-space. We show that the 2-twist-spun trefoil has the triple point number four.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 57Q45, 57Q35
  • Retrieve articles in all journals with MSC (2000): 57Q45, 57Q35
Additional Information
  • Shin Satoh
  • Affiliation: Department of Mathematics, Chiba University, Inage, Chiba, 263-8522, Japan
  • Email: satoh@math.s.chiba-u.ac.jp
  • Akiko Shima
  • Affiliation: Department of Mathematics, Tokai University, 1117 Kitakaname, Hiratuka, Kanagawa, 259-1292, Japan
  • Email: shima@keyaki.cc.u-tokai.ac.jp
  • Received by editor(s): October 15, 2001
  • Received by editor(s) in revised form: July 24, 2002
  • Published electronically: August 25, 2003
  • © Copyright 2003 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 356 (2004), 1007-1024
  • MSC (2000): Primary 57Q45; Secondary 57Q35
  • DOI: https://doi.org/10.1090/S0002-9947-03-03181-7
  • MathSciNet review: 1984465