A COLLARING THEOREM FOR CODIMENSION-ONE MANIFOLDS

被引：0

作者：

DAVERMAN, RJ ^{[1
]}

TINSLEY, FC ^{[1
]}

机构：

[1] COLORADO COLL, DEPT MATH, COLORADO SPRINGS, CO 80903 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 120卷 / 03期

关键词：

CODIMENSION ONE MANIFOLD; LOCALLY FLAT EMBEDDING; LOCALLY PERIPHERALLY COLLARED; WILD CANTOR SET; OPEN COLLAR NEIGHBORHOOD;

D O I：

10.2307/2160494

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The chief result implies that an n-manifold S embedded in the interior of an (n + 1)-manifold M as a closed, separating subset is locally flatly embedded if the embedding is well behaved m a locally peripheral sense and if S has arbitrarily close neighborhoods Q such that the fundamental groups of appropriate components of Q \ S admit a uniform finite upper bound on the number of generators.

引用

页码：969 / 972

页数：4