  In 1974, Gugenheim and May showed that the cohomology $\text{Ext}_A(R,R)$ 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 $E_2$
page of the $H\mathbb{F}_p$-based Adams spectral sequence. By studying a novel
sequence of deformations of a presentably symmetric monoidal stable
$\infty$-category $C$, we show that for a variety of spectral sequences coming
from filtered spectra, the set of elements on the $E_2$ page surviving to the
$E_k$ 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.
