The hyperspaces Cn(X) for finite ray-graphs

• Esty, Norah ^[1]
  1. [1] Stonehill College

     Stonehill College

     Town of Easton, Estados Unidos

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 14, Nº. 1, 2013, págs. 73-84
• Idioma: inglés
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• Resumen

  • 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).