trureturingGitHub MATHEMATICAL ATLAS

ConceptDynamics / CONCEPT

Alexandrov Dependency Topology

Upper sets form the dependency Alexandrov topology with principal opens and downset closures.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES4
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

A singleton closes to its principal downset

RELATIONSHIP ATLAS

Every connection, in context.

Explore in 3D
Direct recorded relationships
Dependency Reachability OrderDependency Reachability OrderAlexandrov Dependency TopologyAlexandrov Dependency TopologyAlexandrov InseparabilityAlexandrov InseparabilityAlexandrov Monotone ContinuityAlexandrov Monotone ContinuityDepth-Closed FiltrationDepth-Closed FiltrationProof Topology CoreProof Topology Core
Proof dependencyStructural affinityDocument link

RELATED KNOWLEDGE

Structural connections

Documents & exposition

Other authored & advisory relationships

None recorded in this release.

LIBRARY / RELEASE VERSIONS

Content history

Loading release versions...
Browse the archive

Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
ConceptDynamics
Node ID
D5/S3/ConceptDynamics/DependencyTopology/AlexandrovDependencyTopology
Repository path
D5/S3/ConceptDynamics/DependencyTopology/AlexandrovDependencyTopology.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.