trureturingGitHub MATHEMATICAL ATLAS

ConceptDynamics / CONCEPT

No Continuous Global Section of the Circle Double Cover

The squaring double cover of the unit circle has no continuous global section.

Closed Authored exposition
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES1
PROOF DEPTH0
DOCUMENT LINKS1
THEOREM

The circle squaring map has no continuous right inverse

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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

None recorded in this release.

Certified topology / DOWNSTREAM

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None recorded in this release.

LIBRARY / RELEASE VERSIONS

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Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
ConceptDynamics
Node ID
D5/S3/ConceptDynamics/Topology/CircleDoubleCoverNoSection
Repository path
D5/S3/ConceptDynamics/Topology/CircleDoubleCoverNoSection.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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.