The resolving completion of an exact category
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866915859659751424 |
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| author | Lawson, Marianne Letz, Janina C. Sauter, Julia |
| author_facet | Lawson, Marianne Letz, Janina C. Sauter, Julia |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_13022 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The resolving completion of an exact category Lawson, Marianne Letz, Janina C. Sauter, Julia Representation Theory Category Theory 18G10, 18G80, 16E35, 18E10 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. |
| title | The resolving completion of an exact category |
| topic | Representation Theory Category Theory 18G10, 18G80, 16E35, 18E10 |
| url | https://arxiv.org/abs/2603.13022 |