2015/05/14 by Hans-Joachim Baues, Baues, Hans-Joachim, Martin Frankland +1
Mathematics · #55S20 (Secondary) #55T15 (Primary) 18G50 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · doi:10.48550/arxiv.1505.03885
openalex publication_date 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In previous work of the first author and Jibladze, the E3-term of the Adams spectral sequence was described as a secondary derived functor, defined via secondary chain complexes in a groupoid-enriched category. This led to computations of the E3-term using the algebra of secondary cohomology operations. In work with Blanc, an analogous description was provided for all higher terms Em. In this paper, we introduce 2-track algebras and tertiary chain complexes, and we show that the E4-term of the Adams spectral sequence is a tertiary Ext group in this sense. This extends the work with Jibladze, while specializing the work with Blanc in a way that should be more amenable to computations.