Partial actions of groups on hyperspaces




Partial action, globalization, hyperspace, monad


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 2θ as well as their corresponding globalizations are established.


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Author Biographies

Luis Martínez, Universidad Industrial de Santander

Escuela de Matemáticas

Héctor Pinedo Tapia, Universidad Industrial de Santander

Escuela de Matemáticas

Edwar Ramirez, Universidad Industrial de Santander

Escuela de Matemáticas


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How to Cite

L. Martínez, H. P. Tapia, and E. Ramirez, “Partial actions of groups on hyperspaces”, Appl. Gen. Topol., vol. 23, no. 2, pp. 255–268, Oct. 2022.