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  1. Topology and Dynamics
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  5. 2024

Continuum Theory

‟The hyperspace of non-cut subcontinua of graphs and dendrites” by Jorge Vega <vegacevedofc@ciencias.unam.mx>, Benemérita Universidad Autónoma de Puebla

Abstract:

We give conditions under which the Vietoris hyperspace of non-cut subscontinua is compact, connected, locally connected or totally disconnected for graphs and dendrites. Also, we show that for a dendrite whose set of endpoints is dense this hyperspace is homeomorphic to de Baire space of irrational numbers.