Derivative for Functions $f : G \to H$, Where $G$ Is a Metric Divisible Group
General Mathematics
2026-01-13 v1
Abstract
In this paper, a derivative for functions , where is any metric divisible group and is a metric Abelian group with a group metric, is defined. Basic differentiation theorems are stated and demonstrated. In particular, we obtain the Chain Rule
Cite
@article{arxiv.2601.06130,
title = {Derivative for Functions $f : G \to H$, Where $G$ Is a Metric Divisible Group},
author = {Hector Andres Granada Diaz and Simeon Casanova Trujillo and Fredy E. Hoyos},
journal= {arXiv preprint arXiv:2601.06130},
year = {2026}
}
Comments
10 pages,no figures,published paper