trureturingGitHub MATHEMATICAL ATLAS

Geometry / CONCEPT

Native independence realizations of finite forests

The actual independence realization of a finite forest is empty, contractible, or a sphere up to homotopy.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH5
DOCUMENT LINKS0
THEOREM

Contraction from an isolated vertex

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Weighted-tree cycle row error and sharp constant oneWeighted-tree cycle row errorand sharp constant oneTransportTransportNative independence-complex domination foldsNative independence-complexdomination foldsNative independence realizations of finite forestsNative independencerealizations of finite forests
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Lean sourceResearch workspace
Status
Closed
Depth
5
Layer
D5/S3
Domain
Geometry
Node ID
D5/S3/Geometry/FiniteForestIndependence
Repository path
D5/S3/Geometry/FiniteForestIndependence.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.