0-Dimensional Ideal Approximation Theory

TL;DR

This paper introduces axioms for 0-dimensional ideal approximation theory and demonstrates that extriangulated categories fulfill these axioms, establishing a new connection in category theory.

Contribution

It formulates axioms for 0-dimensional ideal approximation theory and shows that extriangulated categories satisfy these axioms, linking these concepts.

Findings

Extriangulated categories satisfy the proposed axioms.

The axioms define a framework for 0-dimensional ideal approximation.

The work bridges ideal approximation theory with extriangulated categories.

Abstract

We propose axioms for 0-dimensional ideal approximation theory and note that extriangulated categories satisfy these axioms.