Timeline for Curves in the plane and their number of holes
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 1, 2022 at 13:36 | vote | accept | ray | ||
| Nov 1, 2022 at 13:36 | vote | accept | ray | ||
| Nov 1, 2022 at 13:36 | |||||
| S Oct 31, 2022 at 11:26 | history | suggested | ray | CC BY-SA 4.0 |
complementary component, not component
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| Oct 31, 2022 at 9:19 | review | Suggested edits | |||
| S Oct 31, 2022 at 11:26 | |||||
| Oct 30, 2022 at 22:44 | comment | added | Lasse Rempe | @ray Sorry, I think I got mixed up between talking about the number of complementary components and the number of "holes" as mentioned in the question. Indeed, the basis of the induction was wrong as written. :) | |
| Oct 30, 2022 at 22:42 | history | edited | Lasse Rempe | CC BY-SA 4.0 |
Fixed an error with the basis of the induction.
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| Oct 29, 2022 at 12:17 | comment | added | ray | @ Lasse Rempe in your claim, do you mean $n+1$ connected components instead of $n$ (take a Jordan curve, so you have only two points $x_0=0$ and $x_1=1$ in your decomposition, but 2 components. And if you look at $\gamma([0,0])=\{\gamma(0)\}$, then you get 1 component. Do I miss something? | |
| Oct 28, 2022 at 9:27 | history | answered | Lasse Rempe | CC BY-SA 4.0 |