#persistence

Chapter 12 — Three Computational Axes

The three computational axes of invariants: intrinsic cohomology, relative cohomology of the fruit–door pair, and persistence barcodes of the door set.

T-L1-F — Hard-Bar / Active-Count Bridge under L1-J Regime

First multi-formation canonical Cat A conditional theorem. Under hypothesis package (P0)-(P11) on shared-pool Σ̃_M^K_field, the hard-bar count from H_0 superlevel persistence equals the active-slot count, with labelled bijection.