A controlled-topology proof of the product structure theorem

被引：2
作者：
Quinn, Frank [1 ]
机构：
[1] Virginia Tech, Blacksburg, VA 24061 USA
来源：
GEOMETRIAE DEDICATA | 2010年 / 148卷 / 01期
关键词：
Product structure theorem; Smooth structures; PL structures; ENDS; MAPS; HOMEOMORPHISMS; CONJECTURE;
D O I：
10.1007/s10711-009-9406-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The controlled end and h-cobordism theorems (Ends of maps I, 1979) are used to give quick proofs of the Top/PL and PL/DIFF product structure theorems.
引用
收藏
页码：303 / 308
页数：6
相关论文
共 15 条
[1]  
[Anonymous], 1986, PURE APPL MATH
[2]  
Cerf Jean, 1968, Lecture notes in Math, V53
[3]   APPROXIMATING HOMOTOPY EQUIVALENCES BY HOMEOMORPHISMS [J].
CHAPMAN, TA ;
FERRY, S .
AMERICAN JOURNAL OF MATHEMATICS, 1979, 101 (03) :583-607
[4]   DEFORMATIONS OF SPACES OF IMBEDDINGS [J].
EDWARDS, RD .
ANNALS OF MATHEMATICS, 1971, 93 (01) :63-&
[5]  
Freedman M. H., 1990, TOPOLOGY 4 MANIFOLDS, V39
[6]   A PROOF OF THE SMALE CONJECTURE, DIFF(S3) CONGRUENT-TO O(4) [J].
HATCHER, AE .
ANNALS OF MATHEMATICS, 1983, 117 (03) :553-607
[7]  
Kirby R.C., 1977, FDN ESSAYS TOPOLOGIC, V88
[8]   STABLE HOMEOMORPHISMS AND ANNULUS CONJECTURE [J].
KIRBY, RC .
ANNALS OF MATHEMATICS, 1969, 89 (03) :575-&
[9]   ON TRIANGULATION OF MANIFOLDS AND HAUPTVERMUTUNG [J].
KIRBY, RC ;
SIEBENMA.LC .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 75 (04) :742-&
[10]  
Milnor J., 1964, Topology, V3, P53, DOI [10.1016/0040-9383(64)90005-9, DOI 10.1016/0040-9383(64)90005-9]
12