TUBULAR-NEIGHBORHOODS OF HILBERT-CUBE MANIFOLDS

被引:3
作者
NOWELL, WO [1 ]
机构
[1] UNIV KENTUCKY,LEXINGTON,KY 40506
关键词
D O I
10.2140/pjm.1979.83.231
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let M and N be Q-manif olds and let i be a locally flat embedding of N into M. It is shown that if N = Q × Rnthen i must be flat. The following version of the Kirby- Siebenmann codimension 2 tubular neighborhood theorem is proved. If i is locally flat of codimension 2, then the embedded submanifold has a tubular neighborhood, and any two such tubular neighborhoods are isotopic. Among the tools developed is a relative version of Z-set unknotting. © 1979, University of California, Berkeley. All Rights Reserved.
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页码:231 / 252
页数:22
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