Partial actions of groups on hyperspaces

Autor: Martínez, Luís, Pinedo, Héctor, Ramírez, Edwar
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: 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 $\theta$ on $X$ and partial determined by $2^{\theta}$ are established.
Databáze: arXiv