On the concept of Algebraic Crystallography

TL;DR

This paper explores how category theory clarifies the concept of internal structures in algebraic crystallography, emphasizing relationships between context and structure.

Contribution

It introduces a categorical perspective to better understand internal structures in algebraic crystallography, highlighting the relationship between context and structure.

Findings

Provides a categorical framework for algebraic crystallography

Clarifies the notion of internal structures using category theory

Highlights the relationship between context and structure

Abstract

Category Theory provides us with a clear notion of what is an internal structure. This will allow us to focus our attention on a certain type of relationship between context and structure.