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arXiv · 1811.08077

The DG-category of secondary cohomology operations

Hans-Joachim Baues·Martin Frankland
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Abstract

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.

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Hans-Joachim Baues, Martin Frankland. 2018-11-20. The DG-category of secondary cohomology operations. https://doi.org/10.1007/s10485-020-09601-1

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