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  • 1 Institute of Mathematics Polish Academy of Sciences Abrahama 18 81-825 Sopot Poland 81-825 Sopot Poland
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Abstract  

We show that it is consistent with ZFC that the family of functions with the Baire property has the difference property. That is, every function for which f(x + h)-f(x) has the Baire property for every h∈R is of the form f=g + Awhere g has the Baire property and A is additive.

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