2024/02/27 by Aitken, Colin
#Algebraic Topology (math.AT) #FOS: Mathematics
paper · doi:10.48550/arxiv.2402.17921
In 1974, Gugenheim and May showed that the cohomology ExtA(R,R) of a connected augmented algebra over a field R is generated by elements with s = 1 under matric Massey products. In particular, this applies to the E2 page of the H\mathbbFp-based Adams spectral sequence. By studying a novel sequence of deformations of a presentably symmetric monoidal stable ∞-category C, we show that for a variety of spectral sequences coming from filtered spectra, the set of elements on the E2 page surviving to the Ek page is generated under matric Massey products by elements with degree s < k. This work is the author's PhD thesis, completed under the supervision of Peter May.