Higher structure in the unstable Adams spectral sequence

2017/09/04 by Samik Basu, Basu, Samik, David Blanc +3
Mathematics · #55P60 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Primary: 55T15 #Secondary: 55S20 #math.AT #msc:55P60 #msc:55S20 #msc:55T15

paper · pdf · doi:10.48550/arxiv.1709.00936

arxiv created 2017/09/04 · openalex publication_date 2017/09/04 · arxiv updated 2017/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe a variant construction of the unstable Adams spectral the sequence for a space Y, associated to any free simplicial resolution of H^*(Y;R) for R=\mathbbF_p or ℚ. We use this construction to describe the differentials and filtration in the spectral sequence in terms of appropriate systems of higher cohomology operations.

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