Current reading edition · 2026-09-21
Anchor, Tensor, and Skin
A Fixed-Domain Decomposition Theorem for Admissible Description
Amos Jay Maley · 36 pages
Decomposes a fixed-domain admissible description into context (Anchor), complete semantic content (Tensor) and identity-preserving realization (Skin), with reconstruction maps; characterizes minimal realization uniqueness up to commuting bijection and finite-use envelopes/substitution.
Earlier versions
- Public release · 2026-04-22 (10.5281/zenodo.19700725)
About this paper and citation
- Imports
- States a one-way order: Kernel, AMetric, Structure, fixed-domain exhaustion, then ATS. References name kernel v49, AMetric editorial reference, Structure examples reference 20 September and Exhaustion composition reference 20 September.
- Supplies downstream
- Supplies a typed organization for assembling/checking admissible descriptions and certificates. It does not serve as a premise for the earlier general exhaustion theorem.
- Scope and limits
- A complete semantic profile is not merely an admissibility bit and need not identify a unique occupant. Minimal-realization uniqueness does not imply uniqueness among every adequate realization. Sequential substitution requires joint original-domain factorization; a licence alone is not execution.
Optional source references - these jump to sections and theorems in this same PDF.
- Section 1.4 · PDF pp. 3
- Section 2.4 / Theorem 3.1 / Theorem 3.3 / Section 3.4 · PDF pp. 6–8
- Theorem 7.3 · PDF pp. 22–23
- Theorem 7.5 · PDF pp. 24
- Theorem 9.1 · PDF pp. 29
- References 1-4 · PDF pp. 36
Amos Jay Maley. Anchor, Tensor, and Skin: A Fixed-Domain Decomposition Theorem for Admissible Description. Publication reference, 2026-09-21. SHA256 1624eacd530dcdaaedec184414c8a7eab8d5096805aee9ffa5452b6f51638c7b. DOI: 10.5281/zenodo.22875011.
Manuscript cover date: 2026-09-21. Publisher release date: 2026-09-21.
SHA256 1624eacd530dcdaaedec184414c8a7eab8d5096805aee9ffa5452b6f51638c7b
Work record (all versions) · Edition metadata · Reading aid as Markdown
The PDF matches the exact publisher release. A complete manuscript HTML conversion has not been verified. A newer reading edition does not replace the exact edition cited by a downstream theorem.