DETECTING MAPPING SPACES

被引：0
|
作者：
Bittner, Alyson [1 ]
机构：
[1] Univ Buffalo, Dept Math, Buffalo, NY 14260 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 148卷 / 06期
关键词：
D O I：
10.1090/proc/14905
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show if A is a finite CW-complex such that algebraic theories detect mapping spaces out of A, then A has the homology type of a wedge of spheres of the same dimension. Furthermore, if A is simply connected, then A has the homotopy type of a wedge of spheres.
引用
收藏
页码：2683 / 2693
页数：11
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