Loop spaces and homotopy operations

被引：0
|
作者：
Blanc, D [1 ]
机构：
[1] UNIV HAIFA, DEPT MATH & COMP SCI, IL-31905 HAIFA, ISRAEL
来源：
FUNDAMENTA MATHEMATICAE | 1997年 / 154卷 / 01期
关键词：
loop space; topological group; H-space; Pi-algebra; delooping; higher homotopy operations; obstruction theory;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We describe an obstruction theory for an H-space X to be a loop space, in terms of higher homotopy operations taking values in pi*X. These depend on first algebraically ''delooping'' the Pi-algebras pi*X, using the H-space structure on X, and then trying to realize the delooped Pi-algebra.
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页码：75 / 95
页数：21
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