Singularity-family topological triviality contract

Family 064: Topological triviality of <i>μ</i>-constant surface singularities. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Record topological right triviality of the specified one-parameter isolated hypersurface family with constant Milnor number.

Applicability and commercial boundary

This is a family of germs in complex three-space; topological homeomorphisms need not be differentiable or cheaply computable.

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 the family assumptions and construction of homeomorphisms.

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.

Topological triviality of mu-constant families of surface singularities.