Stable cohomology of compact homogeneous spaces

被引：0
|
作者：
Gorbatsevich, V. V. [1 ]
机构：
[1] Moscow State Aviat Technol Univ, Moscow, Russia
来源：
MATHEMATICAL NOTES | 2008年 / 83卷 / 5-6期
基金：
俄罗斯基础研究基金会;
关键词：
stable cohomology; compact homogeneous space; finite covering; polycyclic group; Lie group; homotopy group; Seifert fibration;
D O I：
10.1134/S0001434608050192
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The cohomology of certain compact homogeneous spaces is studied. The notion of stable cohomology (invariant under the passage to a finite covering) is introduced; examples of the calculation of this cohomology (Theorem 1) and its application to the study of the structure of compact homogeneous spaces (Theorem 2) are given. Several conjectures about properties of stable cohomology related to various areas of mathematics (such as topology and the cohomology of discrete (in particular, polycyclic) groups) are stated.
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页码：735 / 743
页数：9
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