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

页码：2683 / 2693

页数：11

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