Edwar Ramírez

Partial actions of groups on hyperspaces

Let $X$ be a compact Hausdorff space. In this work we translate partial actions of $X$ to partial actions on some hyperspaces determined by $X,$ this gives an endofunctor $2^{-}$ in the category of partial actions on compact Hausdorff spaces which generates a monad in this category. Moreover, structural relations between partial actions $θ$ on $X$ and partial determined by $2^θ$ are established.