T. Lawson

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math.AT2025

Examples of disk algebras

Sanath Devalapurkar, Jeremy Hahn, Tyler Lawson +2

We produce refinements of the known multiplicative structures on the Brown--Peterson spectrum $B P$ , its truncated variants $B P ⟨ n ⟩$ , Ravenel's spectra $X (n)$ , and even…

math.AT2024

Filtered spaces, filtered objects

Tyler Lawson

We introduce a operation on categories enriched in filtered spaces, whose effect is to turn categories of $E_{1}$ -pages into categories of $E_{2}$ -pages. This allows us to give a homot…

math.AT2024

Skeleta and categories of algebras

Jonathan Beardsley, Tyler Lawson

We define a notion of a connectivity structure on an $\infty$ -category, analogous to a $t$ -structure but applicable in unstable contexts -- such as spaces, or algebras over an oper…

math.AT2024

Synthetic spectra are (usually) cellular

Tyler Lawson

If $E$ is a connective ring spectrum, then Pstragowski's category $S y n_{E}$ of $E$ -synthetic spectra is generated by the bigraded spheres $S^{i, j}$ . In particular, it is equivalent t…