Stable cohomology of compact homogeneous spaces

被引：0
|
作者：
V. V. Gorbatsevich
机构：
[1] Moscow State Aviation Technological University,
来源：
Mathematical Notes | 2008年 / 83卷
关键词：
stable cohomology; compact homogeneous space; finite covering; polycyclic group; Lie group; homotopy group; Seifert fibration;
D O I：
暂无
中图分类号：
学科分类号：
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.
引用
收藏
页码：735 / 743
页数：8
相关论文
共 50 条
12345