# Souslin trees at successors of regular cardinals

## TL;DR

This paper introduces a weak condition that guarantees the existence of Souslin trees at successors of regular cardinals, improving upon previous theorems in the field.

## Contribution

It provides an optimal condition for Souslin tree existence, enhancing earlier results by Gregory and the author.

## Key findings

- Established a weak sufficient condition for Souslin trees.
- Improved upon Gregory's theorem.
- Enhanced previous results with a more general condition.

## Abstract

We present a weak sufficient condition for the existence of Souslin trees at successor of regular cardinals. The result is optimal and simultaneously improves an old theorem of Gregory and a more recent theorem of the author.