有限射线图的超空间$C_{n}(X)$
The Hyperspaces $C_{n}(X)$ of finite ray-graphs
摘要：
本文研究了底空间$X$的非空闭子集超空间$C_{n}(X)$，它具有至多$n$连通分支.我们考虑一类称为有限射线图的底空间，它是有限图的非紧变体。我们证明了两个结果的结构，这些超空间在不同的拓扑（Hausdorff和Vietoris），特别是，他们的连通分支的数量。
英文摘要：
In this paper we consider the hyperspace $C_{n}(X)$ of non-empty and closed subsets of a base space $X$ with up to $n$ connected components. We consider a class of base spaces called finite ray-graphs, which are a noncompact variation on finite graphs. We prove two results about the structure of these hyperspaces under different topologies (Hausdorff and Vietoris), in particular, about their number of connected components.
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