The hyperspace of noncut subcontinua of some dendrites

Rodrigo Hernández-Gutiérrez, Jorge E. Vega

Published 2021-08-13Version 1

The Vietoris hyperspace $NC^{*}(X)$ of noncut subcontinua of a metric continuum $X$ has been previously studied by several authors. In this paper we prove that if $X$ is a dendrite and the set of endpoints of $X$ is dense, then $NC^{*}(X)$ is homeomorphic to the Baire space of irrational numbers.