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May 20, 2018 porton

A counterexample to my recent conjecture

After proposing this conjecture I quickly found a counterexample:

$S = \left\{ (- a ; a) \mid a \in \mathbb{R}, 0 < a < 1 \right\}$ , $f$ is the usual Kuratowski closure for $\mathbb{R}$ .

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