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ℓPart 3
The Cech cohomology framework and three computational axes for topological readout.
Chapter 11 — Čech Cohomology Framework
Čech cohomology as the natural language of the theory — what holds exactly in the discrete setting, what requires additional topological hypotheses, and how the cocycle condition encodes the closure of relational transit.
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.