Lipschitz extension of multiple Banach-valued functions in the sense of Almgren
| dc.creator | Goblet, Jordan | |
| dc.date | 2006-09-21 | |
| dc.date.accessioned | 2026-07-07T07:25:05Z | |
| dc.date.available | 2026-07-07T07:25:05Z | |
| dc.description | A multiple-valued function $f:X\to {\bf Q}_Q(Y)$ is essentially a rule assigning $Q$ unordered and non necessarily distinct elements of $Y$ to each element of $X$. We study the Lipschitz extension problem in this context by using two general Lipschitz extension theorems recently proved by U. Lang and T. Schlichenmaier. We prove that the pair $(X,{\bf Q}_Q(Y))$ has the Lipschitz extension property if $Y$ is a Banach space and $X$ is a metric space with a finite Nagata dimension. We also show that ${\bf Q}_{Q}(Y)$ is an absolute Lipschitz retract if $Y$ is a finite algebraic dimensional Banach space. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0609606 | |
| dc.identifier | http://arxiv.org/abs/math/0609606 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116608 | |
| dc.subject | Metric Geometry | |
| dc.subject | 54C20 | |
| dc.title | Lipschitz extension of multiple Banach-valued functions in the sense of Almgren | |
| dc.type | text |