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Timeline for Partition of unity of simplex

Current License: CC BY-SA 4.0

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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