Actions on polish spaces and p-continuous functions

Abstract EN

The action of A on X is a map,F , called an f-action, which satisfies some conditions.

In this paper, some results on f-actions are proved.

First, the notion of p-continuity is defined.

Using the properties of set-valued functions, we provide some results concerning the measurability, expansiveness, and extension of p-continuous f-actions, in the realm of Polish spaces.

The findings of this paper generalize and extend some results in the literature.