Topological proofs of results on large fields

TL;DR

This paper uses the étale open topology to establish new results about large fields, demonstrating that these facts can be extended to a broad topological context.

Contribution

It introduces a topological approach to large fields using the étale open topology, generalizing previous algebraic results.

Findings

Large fields have properties that lift to a general topological setting

The étale open topology provides a new framework for studying large fields

Several algebraic facts about large fields are proven using topological methods

Abstract

We use the recently introduced \'etale open topology to prove several facts about large fields. We show that these facts lift to a very general topological setting.