Remark: Family 177. Bounded-degree coboundary expanders in every dimension

Constructs arbitrarily large finite $d$-dimensional simplicial complexes, for every $d\ge 3$, with uniformly bounded vertex degrees and uniform ${\mathbb{F}}_2$ coboundary expansion in every degree below $d$. Together with the known graph and two-dimensional cases, this establishes the existence of such expanders in every positive dimension.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.