MathIdeasResearch in progressRepository ↗
← Research catalogOriginal Markdown ↓
On this page

Continuous symmetry classification contract

Family 304: The Hilbert–Smith conjecture in every dimension. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Record the Lie-group consequence for a faithful continuous action on a finite-dimensional connected topological manifold.

Applicability and commercial boundary

Local compactness, second countability and faithfulness matter. A finite observation of transformations is not a proof of these assumptions.

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 recognition or an explicit action example.

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.

The Hilbert–Smith conjecture in every finite dimension.