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Functions whose composition with Baire class one functions are Baire class one. (English) Zbl 1137.26300
Summary: We study the functions whose composition with Baire class one functions at Baire class one functions. We first prove some characterizations of such functions, then investigate a subclass of such functions which are defined in a natural way.

MSC:
26A21 Classification of real functions; Baire classification of sets and functions
26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable
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