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Sep 29, 2020 at 3:01 comment added Eduardo Longa Simple! Thank you, Josh.
Sep 29, 2020 at 2:53 comment added Josh Howie No. Choose a 2-sphere $S=S^2\times\{pt\}$ which intersects $B$ in a disk. Then $D=S\setminus B$ is a disk which does not separate $M$.
Sep 29, 2020 at 2:28 history asked Eduardo Longa CC BY-SA 4.0