Actions on Polish Spaces and p-Continuous Functions
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Polish spaces, Set-valued functions, Selection fuunctions, Borel functions, Continuity
Abstract
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.
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