Submission date: 12 April 2022

Abstract:

In this paper, we establish a theorem on extension of Lipschitz maps definable in Hensel minimal, non-trivially valued fields $K$ of equicharacteristic zero. It may be regarded as a definable, non-Archimedean, non-locally compact version of Kirszbraun's theorem.

Mathematics Subject Classification: 12J25, 03C65, 32B20, 03C98

Keywords and phrases:

Full text arXiv 2204.05900: pdf, ps.