trureturingGitHub MATHEMATICAL ATLAS

Topology / CONCEPT

Finite marginals and ordered split geometry

Fixed finite signed marginals and exact clopen traces in ordered closed splits.

Closed Authored exposition
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES2
PROOF DEPTH4
DOCUMENT LINKS0
THEOREM

Uniform fixed finite signed marginals

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Existence of total-variation-preserving signed liftsExistence of total-variation-preserving signed liftsArbitrary signed lifts and weak-star stabilityArbitrary signed lifts andweak-star stabilityPositive Jordan mass through signed clopen setsPositive Jordan mass throughsigned clopen setsSigned reference convergence on the actual closed splitSigned reference convergence onthe actual closed splitFinite marginals and ordered split geometryFinite marginals and orderedsplit geometryLiteral successor coordinatesLiteral successor coordinatesOrdered signed columnsOrdered signed columns
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Lean sourceResearch workspace
Status
Closed
Depth
4
Layer
D5/S3
Domain
Topology
Node ID
D5/S3/Topology/Measures/SignedSplitSuccessorSupport
Repository path
D5/S3/Topology/Measures/SignedSplitSuccessorSupport.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.