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Timeline for Contractible set in a manifold

Current License: CC BY-SA 4.0

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Jul 25, 2021 at 1:55 vote accept Zhiqiang
Jul 16, 2021 at 16:03 answer added Shijie Gu timeline score: 0
Jul 14, 2021 at 1:31 comment added skupers A technique worth looking at is "engulfing".
Jul 13, 2021 at 22:57 history became hot network question
Jul 13, 2021 at 18:14 comment added Ryan Budney If you want conditions that would allow you to make your conclusion, take a look at Larry Siebenmann's Ph.D thesis.
Jul 13, 2021 at 15:25 answer added Tom Goodwillie timeline score: 8
Jul 13, 2021 at 15:21 comment added Nicolast Take $K$ to be one side (homeomorphic to a ball) of Alexander's horned sphere. Then small open neighbourhoods of $K$ are not homeomorphic to $\mathbb R^3$ since their complement is not simply connected. But of course you could take a large neighbourhood of $K$ which is an open ball. I suspect that you can creat an actual counter-example by adding some topology in the complement of $K$.
Jul 13, 2021 at 15:20 answer added Danny Ruberman timeline score: 9
Jul 13, 2021 at 14:56 history asked Zhiqiang CC BY-SA 4.0