In this paper, we consider spaces whose Higson coronae are indecomposable continua. We show that for a non-compact proper metric space $X$ which is coarsely geodesic and has coarse bounded geometry, the Higson corona of $X$ is an indecomposable continuum if and only if $X$ is coarsely equivalent to the space of natural numbers. Then we give characterizations of finitely generated groups that have one or two ends by decomposability/indecomposability of the components of their Higson coronae. we characterize it as a group whose Higson corona is a topological sum of two indecomposable continua.

中文翻译：

---

作为 Higson 日冕的不可分解连续体

在本文中，我们考虑其 Higson 日冕是不可分解连续体的空间。我们证明，对于粗测地线和粗有界几何的非紧实度量空间 $X$，$X$ 的 Higson 日冕是不可分解的连续统，当且仅当 $X$ 粗略等价于自然空间数字。然后我们通过其 Higson 日冕组件的可分解性/不可分解性给出具有一个或两个末端的有限生成群的特征。我们将其描述为一个群，其 Higson 日冕是两个不可分解连续体的拓扑和。