Some recent research directions in the computably enumerable sets

TL;DR

This paper surveys recent research and open questions concerning the structure and properties of computably enumerable sets under inclusion, focusing on current research directions.

Contribution

It provides a focused overview of recent developments and unresolved questions in the study of computably enumerable sets, highlighting specific research trends.

Findings

Summary of recent results in computably enumerable sets

Identification of open questions and research directions

Focus on inclusion relationships among c.e. sets

Abstract

As suggested by the title, this paper is a survey of recent results and questions on the collection of computably enumerable sets under inclusion. This is not a broad survey but one focused on the author's and a few others' current research.