Non-additivity for triple point numbers on the connected sum of surface-knots

被引：5
|
作者：
Satoh, S [1 ]
机构：
[1] Chiba Univ, Grad Sch Sci & Technol, Inage Ku, Chiba 2638522, Japan
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 02期
关键词：
surface-knot; connected sum; triple point; twist-spun knot;
D O I：
10.1090/S0002-9939-04-07522-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Any surface-knot F in 4-space can be projected into 3-space with a finite number of triple points, and its triple point number, t(F), is defined similarly to the crossing number of a classical knot. By definition, we have t(F-1#F-2) less than or equal to t(F-1) + t(F-2) for the connected sum. In this paper, we give infinitely many pairs of surface-knots for which this equality does not hold.
引用
收藏
页码：613 / 616
页数：4
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