TL;DR
This paper revisits and enhances foundational results on the stabilization of derivators within stable homotopy theories, providing detailed localization theory and new related results.
Contribution
It improves upon Heller's original results on derivator stabilization and introduces new findings in the localization theory of derivators.
Findings
Complete recovery of Heller's stabilization results
New results in derivator localization theory
Enhanced understanding of stable homotopy theories
Abstract
We revisit and improve Alex Heller's results on the stabilization of derivators in Stable Homotopy Theories and Stabilization (J Pure Appl Algebra, 115(2):113-130, 1997), recovering his results entirely. Along the way we give some details of the localization theory of derivators and prove some new results in that vein.
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