Reasonable triangulated categories have filtered enhancements

TL;DR

This paper proves that triangulated categories arising from stable derivators possess filtered enhancements, confirming a conjecture and advancing the understanding of their structural properties.

Contribution

It establishes that all triangulated categories from stable derivators have filtered enhancements, resolving a previously open conjecture.

Findings

Triangulated categories from stable derivators have filtered enhancements

Affirmative answer to the conjecture in [3]

Advances the structural understanding of triangulated categories

Abstract

We prove that a triangulated category which is the underlying category of a stable derivator has a filtered enhancement, providing an affirmative answer to a conjecture in [3].