The DG-category of secondary cohomology operations
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2018
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| _version_ | 1866915807427035136 |
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| author | Baues, Hans-Joachim Frankland, Martin |
| author_facet | Baues, Hans-Joachim Frankland, Martin |
| contents | We study track categories (i.e., groupoid-enriched categories) endowed with additive structure similar to that of a 1-truncated DG-category, except that composition is not assumed right linear. We show that if such a track category is right linear up to suitably coherent correction tracks, then it is weakly equivalent to a 1-truncated DG-category. This generalizes work of the first author on the strictification of secondary cohomology operations. As an application, we show that the secondary integral Steenrod algebra is strictifiable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1811_08077 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | The DG-category of secondary cohomology operations Baues, Hans-Joachim Frankland, Martin Category Theory Algebraic Topology 18D05 (Primary) 55S20 (Secondary) We study track categories (i.e., groupoid-enriched categories) endowed with additive structure similar to that of a 1-truncated DG-category, except that composition is not assumed right linear. We show that if such a track category is right linear up to suitably coherent correction tracks, then it is weakly equivalent to a 1-truncated DG-category. This generalizes work of the first author on the strictification of secondary cohomology operations. As an application, we show that the secondary integral Steenrod algebra is strictifiable. |
| title | The DG-category of secondary cohomology operations |
| topic | Category Theory Algebraic Topology 18D05 (Primary) 55S20 (Secondary) |
| url | https://arxiv.org/abs/1811.08077 |