Derivative for Functions $f : G \to H$, Where $G$ Is a Metric Divisible Group

Fuente: arXiv
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Autori principali: Diaz, Hector Andres Granada, Trujillo, Simeon Casanova, Hoyos, Fredy E.
Natura: Preprint
Pubblicazione: 2026
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author Diaz, Hector Andres Granada
Trujillo, Simeon Casanova
Hoyos, Fredy E.
author_facet Diaz, Hector Andres Granada
Trujillo, Simeon Casanova
Hoyos, Fredy E.
contents In this paper, a derivative for functions $f : G \to H$, where $G$ is any metric divisible group and $H$ 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
format Preprint
id arxiv_https___arxiv_org_abs_2601_06130
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Derivative for Functions $f : G \to H$, Where $G$ Is a Metric Divisible Group
Diaz, Hector Andres Granada
Trujillo, Simeon Casanova
Hoyos, Fredy E.
General Mathematics
58C20, 22A99, 26A24, 54H99, 46T20
In this paper, a derivative for functions $f : G \to H$, where $G$ is any metric divisible group and $H$ 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
title Derivative for Functions $f : G \to H$, Where $G$ Is a Metric Divisible Group
topic General Mathematics
58C20, 22A99, 26A24, 54H99, 46T20
url https://arxiv.org/abs/2601.06130