Appendix B — Sheaf-Theoretic Identities and Category-Theoretic Remarks

Purpose. Optional advanced material: the relation to Curry’s Alexandrov-topology view, derived-category remarks, and pointers to Hansen–Ghrist sparsification and sheaf Cheeger inequalities.

B.1 Contents

• Relation to Curry’s Alexandrov-topology view.
• Derived-category remarks (optional, advanced).
• Pointers to Hansen–Ghrist sparsification, sheaf Cheeger.

B.2 Exposition

[TO FILL: full technical exposition. This appendix is where heavy proofs and advanced remarks live; the main chapters point here rather than duplicating the material.]