# Verification and scope

A Cubic-Link Obstruction to Manifold Skeleta of Generalized Cluster Complexes

The four-page English manuscript proves the uniform parameter-two obstruction under the explicitly stated full-skeleton and polytopal PL hypotheses. A detailed originating-researcher self-audit passed. No independent review or formal verification is claimed. The broader classification is not closed; the original record remains PARTIALLY_SOLVED.

Exact enumeration gives f=(15,55,55), no four-vertex faces, mod-2 Betti numbers (1,0,14), and five K3,3 vertex links. Cyclic interlacing and integer orientation tests agree. All 511 nonempty edge subsets of K3,3 were checked for degree saturation. Normal, optimized and portable checker runs agree. These finite checks supplement the written proof.

All four final rendered pages were directly inspected: formulas, references, footnote and page endings are legible. The desktop compiler and portable source build pass without missing references or glyphs. All compiled PDF content streams agree after stabilization. The main author line contains only Alper Ferudun; affiliation and contacts appear in a footnote, and AI assistance is disclosed in ordinary prose.

Established compatibility and parabolic rules, known homological results, and rank-two projective-plane examples are credited. Bounded source review does not certify absolute priority. Third-party full texts are not redistributed. License: CC BY 4.0.