trureturingGitHub MATHEMATICAL ATLAS

ConceptDynamics / CONCEPT

History Lifts in the Circle Double Cover

The circle double cover has canonical history-dependent path lifts.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

Initial upper data and path history determine the lifted branch

RELATIONSHIP ATLAS

Every connection, in context.

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Direct recorded relationships
No Continuous Global Section of the Circle Double CoverNo Continuous Global Section ofthe Circle Double CoverHistory Lifts in the Circle Double CoverHistory Lifts in the CircleDouble Cover
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

Consequences

None recorded in this release.

RELATED KNOWLEDGE

Structural connections

Documents & exposition

Other authored & advisory relationships

None recorded in this release.

LIBRARY / RELEASE VERSIONS

Content history

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Certified provenance

Exact release coordinate

Authority boundary

Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.