Overview
Passing to the total source and passing to the total demand are different tests. Success in each direction separately need not survive their combination. This paper identifies the role of retained data and assembly, then couples analytic certificates to coherent strictifier choices to give a sufficient joint reconstruction theorem.
Manuscript status
Frozen manuscript — research note, not peer reviewed
Definitions, results, and open questions in this paper
- Uniform finite relative coercivity — Definition
- Finite, marginal, and joint totalizability — Definition
- Mixed incidence — Definition
- Relative coercivity of retention and assembly — Definition
- Graph equivalence of certificates — Definition
- Persistent strictifiability — Definition
- Finite compatible strictifiability — Definition
- Certificate-bearing strictifier datum — Definition
- Gram assembly formula — Proposition
- Uniform Finite Certificate Totalization — Theorem
- Integrated Joint Reconstruction — Theorem
- Separation of Marginal and Joint Totalizability — Theorem
- Two-Axis Fusion-Face Boundary — Theorem
- Assembly Dependence — Theorem
- Joint Reconstruction Certificate — Theorem
- Compatibility Failure — Theorem
- Graph-Equivalent Certificate Invariance — Theorem
- Cofinal Extension of Certificate Equivalences — Theorem
- Marked Linking Stability — Theorem
- Relational Associator Obstruction — Theorem
- Compact Strictifier Persistence — Theorem
- Certificate-Preserving Strictification — Theorem
- Compact Certificate-Bearing Strictifier Persistence — Theorem
- Certificate-Bearing Strictification Bridge — Theorem
- Module Joint Reconstruction Certificate — Theorem