(Steps Shown) If f ∈ R[ a,b ] and f = g a.e., does it follow that g ∈ R[ a,b ] ? What if "a.e." is weakened to "except at countably many points"?
Question: If \(f\in R\left[ a,b \right]\) and f = g a.e., does it follow that \(g\in R\left[ a,b \right]\) ? What if "a.e." is weakened to "except at countably many points"? Or to "except at finitely many points"?
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