CHARACTERIZATION OF KNOT COMPLEMENTS IN THE 4-SPHERE

被引：3

作者：

LIEM, VT

VENEMA, GA

机构：

[1] UNIV ALABAMA,TUSCALOOSA,AL 35487

[2] INST ADV STUDY,PRINCETON,NJ 08540

[3] CALVIN COLL,GRAND RAPIDS,MI 49546

来源：

TOPOLOGY AND ITS APPLICATIONS | 1991年 / 42卷 / 03期

基金：

美国国家科学基金会;

关键词：

KNOT; 2-SPHERE; 4-SPHERE; COMPLEMENT; WEAK FLATNESS;

D O I：

10.1016/0166-8641(91)90124-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Knot complements in S4 are characterized as follows: A connected open set W subset-of S4 is homeomorphic to the complement of some locally flat 2-sphere in S4 if and only if H-1(W) is infinite cyclic, W has one end, and the fundamental group of that end is infinite cyclic. Applications include a characterization of weakly flat 2-spheres in S4 and a complement theorem for 2-spheres in S4.

引用

页码：231 / 245

页数：15

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