Coarse assembly counterexample ledger

Family 307: Failure of rational injectivity for maximal coarse assembly. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Record rational injectivity failure for assembly maps of specified bounded-degree graph coarse disjoint unions.

Applicability and commercial boundary

Infinite coarse unions and infinite-order kernel classes are not ordinary finite graph adjacency singularity.

Initial business decision

Research reference or conditional symbolic/verification engineering. No recurring buyer need, practical implementation or profitability has been demonstrated. Defer a standalone commercial product until a constructive example and a measurable workflow improvement exist. These records also identify unsupported inferences that an evidence platform could flag.

Next verification action

Extract the graph sequence and exact assembly witness.

Evidence scope

The repository catalog statement was individually read. Main-paper construction, effectiveness and selected formal-scope comparison remain queued for this record. No independent Lean verification was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.

Failure of rational injectivity for maximal coarse assembly.