UNKNOTTING ORIENTABLE SURFACES IN THE 4-SPHERE

被引：6

作者：

HILLMAN, JA ^{[1
]}

KAWAUCHI, A ^{[1
]}

机构：

[1] OSAKA CITY UNIV,DEPT MATH,SUMIYOSHI KU,OSAKA 558,JAPAN

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 1995年 / 4卷 / 02期

关键词：

EMBEDDING; 4-SPHERE; SURFACE; 2-KNOT; TOPOLOGICAL H-COBORDISM;

D O I：

10.1142/S0218216595000119

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a topologically locally Bat embedding of a closed orientable surface in the 4-sphere is isotopic to one whose image Lies in the equatorial 3-sphere if and only if its exterior has an infinite cyclic fundamental group.

引用

页码：213 / 224

页数：12

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