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arXiv · 2603.13022

The resolving completion of an exact category

Marianne Lawson·Janina C. Letz·Julia Sauter
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Abstract

For an exact category we provide two constructions of an ambient category in which the initial category is resolving: In the derived category and in the Gabriel--Quillen embedding. For the first construction we describe a pre-aisle and its right orthogonal using different acyclicty conditions. We provide necessary and sufficient conditions when this pair is a t-structure.

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Marianne Lawson, Janina C. Letz, Julia Sauter. 2026-03-13. The resolving completion of an exact category. https://arxiv.org/abs/2603.13022

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