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Dec 4 at 13:25 comment added T ghosh I thought $B$ has finite area so the diameter of $B$ is finite, but this is not true $\{n i : n \in \mathbb{N} \}$ is an unbounded sequence in $B$, under the hyperbolic metric on $\mathbb{H}^2$. Thank you so much for pointing out this!
Dec 4 at 8:01 vote accept T ghosh
S Dec 4 at 4:34 review First answers
Dec 4 at 5:12
S Dec 4 at 4:34 history answered Tyrannosaurus CC BY-SA 4.0