Show that unit circle is not homeomorphic to the real line – math.stackexchange.com

Show that unit circle is not homeomorphic to the real line – math.stackexchange.com

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Show that $S^1$ is not homeomorphic to either $\mathbb{R}^1$ or $\mathbb{R}^2$ $\mathbf{My \ solution}$: So first we will show that $S^1$ is not homeomorphic to $\mathbb{R}^1$. To show that they are ...

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