Structural Properties of ${\cal R}_2$ Part I

TL;DR

This paper begins exploring the structural properties of the mathematical object ${\cal R}_2$, laying the groundwork for further analysis in the subsequent paper.

Contribution

It introduces the foundational structural properties of ${\cal R}_2$, providing new insights into its mathematical framework.

Findings

Initial structural characterizations of ${\cal R}_2$

Establishment of key properties for future analysis

Framework for subsequent detailed study

Abstract

This is the first of two papers establishing structural properties of ${\cal R}_2$.