Is there U⊂R2 with Lebesgue measure 0 such that
f(x+y)=f(x)+f(y) for all (x,y)∈U implies f(x+y)=f(x)+f(y) for all (x,y)∈R2 ?
I have injection f:A→B and I want to get bijection. Can I just resting codomain to f(A)? I know that every function i...
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