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.

引用

页码：75 / 95

页数：21

共 50 条

[41] Absence of spectral gaps on a class of loop spaces
Eberle, A
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2002, 81 (10): : 915 - 955
[42] COHOMOLOGY OF LOOP SPACES OF THE SYMMETRIC SPACE EI
Choi, Younggi
HOMOLOGY HOMOTOPY AND APPLICATIONS, 2013, 15 (01) : 127 - 136
[43] M-BRANE MODELS AND LOOP SPACES
Saemann, Christian
MODERN PHYSICS LETTERS A, 2012, 27 (20)
[44] The Riemann-Hilbert problem in loop spaces
Giorgadze, G.
Khimshiashvili, G.
DOKLADY MATHEMATICS, 2006, 73 (02) : 258 - 260
[45] Stable indecomposability of loop spaces on symplectic groups
Iriye, Kouyemon
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (02) : 727 - 733
[46] Loop spaces as Hilbert-Hartogs manifolds
Anakkar, M.
Ivashkovich, S.
ARCHIV DER MATHEMATIK, 2020, 115 (04) : 445 - 456
[47] Homotopy decompositions of looped co-H spaces of low-rank
Yu, Haibo
Shen, Wenhuai
Zhao, Hao
TOPOLOGY AND ITS APPLICATIONS, 2011, 158 (08) : 1045 - 1049
[48] The Riemann-Hilbert problem in loop spaces
G. Giorgadze
G. Khimshiashvili
Doklady Mathematics, 2006, 73 : 258 - 260
[49] LOOP SPACE HOMOLOGY OF SPACES OF SMALL CATEGORY
FELIX, Y
THOMAS, JC
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 338 (02) : 711 - 721
[50] Homotopy decompositions of looped 2-cell co-H spaces
Zhao, Hao
Zhong, Linan
Shen, Wenhuai
TOPOLOGY AND ITS APPLICATIONS, 2014, 171 : 54 - 62

← 1 2 3 4 5 →