Are these implications about topology true or false? – math.stackexchange.com

Are these implications about topology true or false? – math.stackexchange.com

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If $f: \mathbb{R}\to\mathbb{R}$ is a continuous function ($\mathbb{R}$ with euclidean distance) are these sentences true or false? 1) $f(A)$ open $\Rightarrow A$ open 2) $A$ open $\Rightarrow f(A)$ ...

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