English

The Stepanov theorem for Q-valued functions

Metric Geometry 2025-06-24 v3

Abstract

In this work we prove the Stepanov differentiation theorem for multiple-valued functions. This theorem is proved in the wide generality of metric-space-multiple-valued functions without relying on a Lipschitz extension result. General definitions of differentiability and approximate differentiability for functions between suitable metric spaces are also introduced.

Keywords

Cite

@article{arxiv.2402.14554,
  title  = {The Stepanov theorem for Q-valued functions},
  author = {Paolo De Donato},
  journal= {arXiv preprint arXiv:2402.14554},
  year   = {2025}
}

Comments

17 pages

R2 v1 2026-06-28T14:57:07.716Z