"The hyperspace of noncut subcontinua of a hairy dendrite"Hernandez-Gutierrez, RodrigoFor a metric continuum $X$ let $NC^*(X)$ be the set of all subcontinua $Y$ of $X$ such that $X\setminus Y$ is connected, metrized by the Hausdorff metric. I will present the following result obtained jointly with Jorge E. Vega: if $X$ is a dendrite whose set of ramification points is dense, then $NC^*(X)$ is homeomorphic to the Baire space of irrational numbers. |
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