Continuity of the Jones' set function $\mathcal{T}$

Javier Camargo, Carlos Uzcategui

Given a continuum $X$, for each $A\subseteq X$, the Jones' set function $\mathcal{T}$ is defined by $\mathcal{T}(A)=\{x\in X : \text{for each subcontinuum }K\text{ such that }x\in…