Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 177-01. Bounded-degree coboundary expanders in every dimension
Manuscript map · lines 5665–5674
OpenAI@2026-10-07#rem:oai-p-177-01
Authors: OpenAI. Family 177.
Title: Bounded-degree coboundary expanders in every dimension.
Abstract: For every integer d ≥ 3, we construct arbitrarily large finite d-dimensional simplicial complexes with uniformly bounded vertex degrees and uniform 𝔽2 coboundary expansion in every degree below d. Together with the known graph and two-dimensional cases, this establishes the existence of bounded-degree 𝔽2 coboundary expanders in every positive dimension.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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