Higher forms of homotopy commutativity and finite loop spaces
Higher forms of homotopy commutativity and finite loop spaces
复制标题
同伦交换性和有限循环空间的更高形式
DOI：
10.1007/bf01214901
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发表时间：
1989
影响因子：
0.8
通讯作者：
C. A. Mcgibbon
中科院分区：
文献类型：
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作者：
C. A. Mcgibbon
如果X是H-空间，则它的循环空间OX是同伦交换的。然而，给定一个同伦可换环空间G，一般来说，它的分类空间BG是H-空间是不正确的。这是我想到的第一个例子;稍后会给出证明。
IfX is an H-space, it is well known that its loop space OX is homotopy commutative. However, given a homotopy commutative loop space G it is not true, in general, that its classifying space BG is an H-space. Here is the first example that comes to mind; proofs will be given later.