The hyperspaces $HS(p,X)$

Florencio Corona-Vázquez, Russell Aarón Quiñones-Estrella, Javier Sánchez Martínez

Let $X$ be a continuum and let $C(X)$ denote the hyperspace of subcontinua of $X$, endowed with the Hausdorff metric. For $p\in X$, define the hyperspace $C(p,X)=\{A\in C(X):p\in A…