Timeline for Partition of unity of simplex
Current License: CC BY-SA 4.0
10 events
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Jul 11, 2023 at 19:35 | vote | accept | user479223 | ||
Jul 11, 2023 at 19:10 | comment | added | user64494 | @user479223: It is easy to derive an explicit partition from that theorem. Good luck! | |
Jul 11, 2023 at 19:06 | answer | added | Iosif Pinelis | timeline score: 3 | |
Jul 11, 2023 at 18:51 | comment | added | user479223 | @user64494 This gives existence of a partition of unity - I would like an explicit example if possible | |
Jul 11, 2023 at 18:46 | history | edited | user479223 | CC BY-SA 4.0 |
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Jul 11, 2023 at 18:45 | comment | added | user479223 | @IosifPinelis Thank you. I will edit, I mean the indicator of the open simplex. | |
Jul 11, 2023 at 18:44 | comment | added | user64494 | Look at Theorem 3.11 in M. Spivac, Calculus on Manyfolds. | |
Jul 11, 2023 at 18:44 | comment | added | Iosif Pinelis | Such a partition does not exist, because $\sum_{n=1}^\infty f_n$ must be $0$ on the boundary of $S$. | |
Jul 11, 2023 at 18:43 | history | edited | user479223 | CC BY-SA 4.0 |
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Jul 11, 2023 at 18:29 | history | asked | user479223 | CC BY-SA 4.0 |