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Jul 27, 2022 at 6:48 vote accept Mikhail Patrakeev
Jul 26, 2022 at 19:14 history edited LSpice CC BY-SA 4.0
Typo
Jul 26, 2022 at 19:11 comment added Anton Petrunin @MikhailPatrakeev I simplified the argument considerably.
Jul 26, 2022 at 19:10 history edited Anton Petrunin CC BY-SA 4.0
simlification
Jul 26, 2022 at 18:57 history edited LSpice CC BY-SA 4.0
`\mathbb{R^3}` -> `\mathbb{R}^3`, and typo
Jul 26, 2022 at 18:52 comment added Anton Petrunin @MikhailPatrakeev $\tilde S$ is compact, so it lies in a ball, say $B$. The complement $\mathbb{R}^3\setminus B$ is connected --- so the other connected component have to be in $B$.
Jul 26, 2022 at 17:37 history edited Anton Petrunin CC BY-SA 4.0
edited body
Jul 26, 2022 at 16:51 history edited Anton Petrunin CC BY-SA 4.0
edited body
Jul 26, 2022 at 16:43 history answered Anton Petrunin CC BY-SA 4.0