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Class-VII surface classification evidence

Family 060: The Global Spherical Shell conjecture. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Track existence of a global spherical shell on a minimal class-VII surface with positive second Betti number.

Applicability and commercial boundary

An embedded sphere collar with connected complement does not directly supply a constructive triangulation or surface-recognition algorithm.

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

Inspect effective construction and restricted explicit surfaces.

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.

Global Spherical Shells on Minimal Surfaces of Class VII.