Tuesday, February 6, 2018

real analysis - graph is dense in mathbbR2

I was asked in a exam: does there exist a function(need not be continous) f:RR whose graph is dense in R2?



I proved that graph of a discontinuous linear map is dense but did not provide explicit example, could any one give me one such? thank you

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analysis - Injection, making bijection

I have injection f:AB and I want to get bijection. Can I just resting codomain to f(A)? I know that every function i...