I couldn't find a Bijective map from (0,1) to [0,1). Is there any example?
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2$1/2\mapsto0, 3/4\mapsto1/2, 7/8\mapsto 3/4,...$ and everything else maps to itself – J. W. Tanner Jan 29 '20 at 23:39
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Note that the proposed "duplicate" has $(0,1]$ where this question has $[0,1)$ – J. W. Tanner Jan 29 '20 at 23:49
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@J.W.Tanner why would 3/4↦1/2,7/8↦3/4,... ? – BOI DOI Jan 30 '20 at 00:49
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Since we map $1/2\mapsto0$, we need something to map to $1/2$; if we take $3/4$, then we need something to map to $3/4;\cdots$ – J. W. Tanner Jan 30 '20 at 00:59