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Timeline for "Thickening" an arc on a 2-manifold

Current License: CC BY-SA 4.0

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Aug 30, 2022 at 9:10 history edited Sam Nead
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Aug 30, 2022 at 5:33 history became hot network question
Aug 30, 2022 at 1:27 history edited Sam Nead
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Aug 29, 2022 at 23:53 comment added Sam Nead This is a delicate question if you want a real proof, and not "just" some handwaving about "oh, this follows from the Schoenflies theorem".
Aug 29, 2022 at 23:28 answer added Sam Nead timeline score: 4
Aug 29, 2022 at 21:50 comment added Sam Nead Also, taking a $\delta/2$--neighbourhood need not give a two-cell - you need to take the constant small enough to avoid the neighbourhood overlapping itself.
Aug 29, 2022 at 21:47 comment added Sam Nead Are we assuming that the surface comes with a metric?
Aug 29, 2022 at 21:46 comment added Leo Moos What about, say, taking $V_{\delta/2}$, the set of points lying at most a distance $\delta/2$ away from the arc? Here $\delta > 0$ would be the distance between said arc and the preassigned compact set.
S Aug 29, 2022 at 21:32 review First questions
Aug 30, 2022 at 0:42
S Aug 29, 2022 at 21:32 history asked Palina CC BY-SA 4.0