SPECIAL GENERIC MAPS ON OPEN 4-MANIFOLDS

被引：0
|
作者：
Saeki, Osamu [1 ]
机构：
[1] Kyushu Univ, Fac Math, Nishi Ku, Motooka 744, Fukuoka, Fukuoka 8190395, Japan
来源：
JOURNAL OF SINGULARITIES | 2010年 / 1卷
基金：
日本学术振兴会;
关键词：
Proper special generic map; differentiable structure; open; 4-manifold; end;
D O I：
10.5427/jsing.2010.1a
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize those smooth 1-connected open 4-manifolds with certain finite type properties which admit proper special generic maps into 3-manifolds. As a corollary, we show that a smooth 4-manifold homeomorphic to R-4 admits a proper special generic map into R-n for some n = 1, 2 or 3 if and only if it is diffeomorphic to R-4. We also characterize those smooth 4-manifolds homeomorphic to L x R for some closed orientable 3-manifold L which admit proper special generic maps into R-3.
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页码：1 / 12
页数：12
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