trureturingGitHub MATHEMATICAL ATLAS

Geometry / CONCEPT

Homotopy extension at a realized vertex

A division-free vertex-cylinder retraction and homotopy extension for finite coordinate realizations.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH1
DOCUMENT LINKS0
THEOREM

The boundary is fixed pointwise

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Direct recorded relationships
Finite cone collapseFinite cone collapseHomotopy extension at a realized vertexHomotopy extension at arealized vertexTransportTransportBased contractions of finite relative open vertex starsBased contractions of finiterelative open vertex stars
Proof dependencyStructural affinityDocument link

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Structural connections

Documents & exposition

None recorded in this release.

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Geometry
Node ID
D5/S3/Geometry/FiniteVertexCylinder
Repository path
D5/S3/Geometry/FiniteVertexCylinder.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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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.