A compact summary of how change requests behave like refinements that require gluing work.
A change request can be viewed as a refinement of scope that introduces new interfaces, and sheafification is the process of forcing local decisions to agree on overlaps so the project still forms a coherent whole.
Model the project as overlapping “areas of responsibility” (Approach, Foundation, Interior). Each area carries local decisions (owner, materials, inspection status). Where areas overlap, decisions must agree; if they do, they “glue” into a single integrated plan (a global section). A change request refines the scope (splitting areas into smaller parts), which creates more overlap points and coordination requirements. If the old plan no longer agrees at these new interfaces, the mismatch highlights exactly where integration work is needed.
Treat each project area as an open set in a cover. A presheaf assigns local specifications to each open set and restriction maps to overlaps. A global section is a set of local specs that agree on every overlap. A change request refines the cover (splits opens into smaller opens), creating additional overlaps. Sheafification corresponds to enforcing the gluing condition: updating or reconciling local specs so that they become consistent across the refined overlaps.