Limits and Colimits in the Category of Pastures

TL;DR

This paper demonstrates that the category of pastures possesses all small limits and colimits, establishing its completeness and cocompleteness.

Contribution

It proves that the category of pastures has arbitrary limits and colimits for diagrams indexed by small categories, expanding its categorical structure.

Findings

The category of pastures has all small limits.

The category of pastures has all small colimits.

Establishes foundational properties of the category of pastures.

Abstract

We show that the category of pastures has arbitrary limits and colimits of diagrams indexed by a small category.