A Baire function is a specific type of function that arises in the field of descriptive set theory, which is a branch of mathematical logic and analysis. Baire functions are defined on the real numbers (or other Polish spaces) and can be categorized based on their levels of complexity. ### Definition: Baire functions are defined using the idea of Baire classes.
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A Baire function belongs to the smallest hierarchy of real-valued functions containing the continuous functions and closed under pointwise sequential limits.