Adams Spectral Sequences and Franke’s Algebraicity Conjecture
Abstract
To any well-behaved homology theory we associate a derived ∞ \infty -category which encodes its Adams spectral sequence. As applications, we prove a conjecture of Franke on algebraicity of certain homotopy categories and establish homotopy-coherent monoidality of the Adams filtration.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Homotopy and Cohomology in Algebraic Topology
Advanced Topics in Algebra
Publication details
- Journal / source
- Memoirs of the American Mathematical Society
- Publisher
- American Mathematical Society (AMS)
- Volume
- 321
- Issue
- 1636
- Publication date
- 10 July 2026
- Language
- EN