I didn't expect our new preprint to pop up simultaneously with 722 new preprints from OpenAI, but here we are. And we are proud of it.
arxiv.org/abs/2610.07932
arxiv.org
On open covers of aspherical spaces satisfying $π_1$-constraints and bounded Adamson cohomology
Given a topological space $X$ and a family of subgroups $\mathcal{F}$ of $π_1(X)$, the $\mathcal{F}$-category of $X$ is given as one less than the cardinality of the smallest cover of $X$ by open subs...