The hyperspaces Cn(X) for finite ray-graphs

Applied General Topology

Norah Esty¹ 

[1] Stonehill College;

关键词: Hyperspaces;    Finite graphs;   

DOI  :  10.4995/agt.2013.1619

来源: DOAJ

【 摘 要 】

In this paper we consider the hyperspace Cn(X) of non-empty and closed subsets of a base space X with up to n connected components. The class of base spaces we consider we call finite ray-graphs, and are a noncompact variation on finite graphs. We prove two results about the structure of these hyperspaces under different topologies (Hausdorff metric topology and Vietoris topology).

【 授权许可】

Unknown