Problem: Show that the following topological spaces are homeomorphic.
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The interval $[0,1]$ and the interval $[2,5]$.
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The interval $(0,2)$ and the real line $\mathbb{R} $.
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The closed unit disk in $\mathbb{R} ^2$ and the closed square $[-1,1] \times [-1,1]$ in $\mathbb{R} ^2$.
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