Introduction to Chabauty topology and Pictures of the Chabauty space of C*

TL;DR

This paper offers an accessible introduction to Chabauty topology, illustrating the structure of the Chabauty space of C* with novel visual representations, despite the underlying description being previously known.

Contribution

It provides new visual illustrations of the Chabauty space of C*, making the topology more understandable without requiring extensive background knowledge.

Findings

Pictures of the Chabauty space of C* are presented for the first time.

The paper clarifies the structure of the Chabauty space through visual means.

The description of the space itself is not new, but the visual approach is novel.

Abstract

The aim of this paper is to provide a gentle introduction to Chabauty topology, while very little background knowledge is assumed. As an example, we provide pictures for the Chabauty space of C*. Note that the description of this space is not new; however the pictures are novel.