Finite-building assumption counterexample

Family 319: Counterexamples to finite generation at chromatic height two. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Prevent a connective p-complete finite-presentation condition from being mistaken for finite construction from the stated truncated Brown–Peterson spectrum.

Applicability and commercial boundary

The height-two counterexample coexists with localization comparisons; no arbitrary software componentization obstruction follows.

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

Read the precise construction and localization maps.

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.

Counterexamples to the Hahn-Wilson conjecture at height two.