The hyperspace of non-cut subcontinua of graphs

Alejandro Illanes, Verónica Martínez-de-la-Vega, Jorge E. Vega

Given a continuum $X$, let $C(X)$ be the hyperspace of all subcontinua of $X$. We consider the hyperspace $N{C}^{\ast }(X)=\{A\in C(X):X\setminus A$ is connected$\}$. In this paper we pr…