Timeline for Explicit extension of Lipschitz function (Kirszbraun theorem)
Current License: CC BY-SA 4.0
7 events
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| Mar 2, 2023 at 18:17 | history | edited | Pietro Majer | CC BY-SA 4.0 |
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| Mar 2, 2023 at 18:12 | comment | added | Pietro Majer | Yes, and the intersection is not empty because it is a family of (weakly) compact sets with non-empty finite intersection. A finite intersection being not empty is equivalent to the theorem in the case of finite sets U. | |
| Mar 2, 2023 at 16:25 | comment | added | Jochen Wengenroth | Should'nt $f_*(x)$ be the intersection of all balls $\overline B(f(u),L\|x-u\|)$? The main point is then to show that $f_*(x)$ is not empty. | |
| Feb 2, 2021 at 4:17 | comment | added | Junekey Jeon | Is $\kappa$ really $1$-Lipschitz? Could you provide a reference? Because this paper (core.ac.uk/download/pdf/81127315.pdf, Theorem 2) seems to show the opposite. | |
| Jan 28, 2020 at 4:25 | history | edited | Pietro Majer | CC BY-SA 4.0 |
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| Jan 26, 2020 at 16:03 | history | edited | Pietro Majer | CC BY-SA 4.0 |
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| Jan 26, 2020 at 10:07 | history | answered | Pietro Majer | CC BY-SA 4.0 |