ON COMPACTA THAT INTERSECT UNSTABLY IN EUCLIDEAN-SPACE

被引：8
|
作者：
DRANISHNIKOV, AN
WEST, J
机构：
[1] VA STEKLOV MATH INST,MOSCOW 117966,USSR
[2] CORNELL UNIV,INST MATH SCI,ITHACA,NY 14853
[3] CORNELL UNIV,DEPT MATH,ITHACA,NY 14853
来源：
TOPOLOGY AND ITS APPLICATIONS | 1992年 / 43卷 / 02期
基金：
美国国家科学基金会;
关键词：
COMPACTUM; DIMENSION; UNSTABLE INTERSECTION; SPANIER-WHITEHEAD DUALITY;
D O I：
10.1016/0166-8641(92)90139-Q
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Following [11], we say that metric compacta X and Y have unstable intersection in R(n) provided that each pair of maps f:X --> R(n) and g:Y --> R(n) may be uniformly epsilon-approximated by maps f':X --> R(n) and g':Y --> R(n) with disjoint images for all epsilon > 0. We prove that this implies that dim X x Y < n.
引用
收藏
页码：181 / 187
页数：7
相关论文
共 50 条
12345