SCHARLEMANN 4-MANIFOLDS AND SMOOTH 2-KNOTS IN S(2)XS(2)

被引：2
|
作者：
SATO, Y [1 ]
机构：
[1] TOKYO METROPOLITAN UNIV,DEPT MATH,HACHIOJI,TOKYO 19203,JAPAN
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 121卷 / 04期
关键词：
SCHARLEMANN MANIFOLD; 4-MANIFOLD; KNOTS;
D O I：
10.2307/2161244
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Scharlemann gave an example of a 4-manifold admitting a fake homotopy structure on S3 X S1#S2 X S2, which is homeomorphic to S3 X S1#S2 X S2 by a theorem of Freedman. We address the problem whether a Scharlemann's manifold is diffeomorphic to S3 X S1#S2 X S2 in terms of 2-knots in S2 X S2.
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页码：1289 / 1294
页数：6
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