The fundamental group of the orbit space of a discontinuous group
The fundamental group of the orbit space of a discontinuous group
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DOI：
10.1017/s0305004100042845
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发表时间：
1968-04
影响因子：
0.8
通讯作者：
M. A. Armstrong
中科院分区：
文献类型：
--
作者：
M. A. Armstrong
一个拓扑空间X的同胚群G称为不连续的，如果（1）X的每个点的稳定子是有限的，和（2）每个点x ∈ X;有一个邻域U，使得G的任何不在x的稳定子中的元素映射U到它自身之外（即如果gx <$x，则U <$gU是空的）。本文的目的是证明以下结果。
A group G of homeomorphisms of a topological space X will be called discontinuous if (1) the stabilizer of each point of X is finite, and (2) each point x ∈ X; has a neighbourhood U such that any element of G not in the stabilizer of x maps U outside itself (i.e. if gx ≠ x then U ∩ gU is empty). The purpose of this note is to prove the following result.