Question: Construct a mapping g : (0, 1) - (0, 1)2 which is an injection of (0, 1) into (0, 1)2. Then apply Schroder-Bernstein theorem to

Construct a mapping g : (0, 1) - (0, 1)2 which

Construct a mapping g : (0, 1) - (0, 1)2 which is an injection of (0, 1) into (0, 1)2. Then apply Schroder-Bernstein theorem to obtain a one-to-one mapping h: (0, 1) - (0, 1)2. Explain how your result can be used for constructing a one-to-one mapping between (0, 1) and (0, 1)&quot

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