Mean-dimension comparison evidence

Family 302: Radius of comparison equals half the mean dimension. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Track radius of comparison for crossed products of minimal homeomorphisms and the zero-dimensional companions.

Applicability and commercial boundary

Mean dimension is an infinite dynamical invariant, not the dimension of a machine-learning feature vector.

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 computable dynamical examples and distinguish all equivalent zero conditions.

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.

Filtered products and boundary-preserving compression in complex cobordism.