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[tex]A := |\mathbb{R}^\mathbb{N}|=|\mathbb{R}| =: B[/tex]

My plan was to define 2 injective maps, 1 from A to B, and 1 from B to A.

B <= A is trivial, just map a real number x on the sequence (xxxxxxxxx...). But I can't find a injective map from A to B. Can someone help?