HOMOTOPY AND TOPOLOGICAL ACTIONS ON SPACES WITH FEW HOMOTOPY-GROUPS

被引：0
作者：
POSTOL, MS
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 114卷 / 01期
关键词：
D O I：
10.2307/2159808
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Cooke [7] studied the problem of replacing homotopy actions by topological actions. In this paper, we use Cooke's results to show that this can always be done for a large class of spaces having few homotopy groups.
引用
收藏
页码：251 / 260
页数：10
相关论文
共 21 条
[1]   ON CLASSIFICATION OF FIBER SPACES [J].
ALLAUD, G .
MATHEMATISCHE ZEITSCHRIFT, 1966, 92 (02) :110-&
[2]  
[Anonymous], 1959, ILLINOIS J MATH
[3]   GROUP OF HOMOTOPY EQUIVALENCES OF SPACE [J].
ARKOWITZ, M ;
CURJEL, CR .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1964, 70 (02) :293-+
[4]  
ARKOWITZ M, 1964, T AM MATH SOC, V110, P538
[5]  
Barcus W. D., 1958, T AM MATH SOC, V88, P57, DOI 10.2307/1993236
[6]   *SUR LES GROUPES DEILENBERG-MAC LANE .2. [J].
CARTAN, H .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1954, 40 (08) :704-707
[7]   *SUR LES GROUPES DEILENBERG-MAC LANE-H PI,N .1. METHODE DES CONSTRUCTIONS [J].
CARTAN, H .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1954, 40 (06) :467-471
[8]   REPLACING HOMOTOPY ACTIONS BY TOPOLOGICAL ACTIONS [J].
COOKE, G .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 237 (MAR) :391-406
[9]  
Copeland Jr A H, 1957, P AM MATH SOC, V8, P184
[10]  
Hopf H, 1944, ANN MATH, V42, P22
123