trureturingGitHub MATHEMATICAL ATLAS

Observer / CONCEPT

Chronological Signature Group-Like Hopf Laws

Step-two chronological signatures satisfy the group-like coproduct and antipode laws, and the antipode reverses event order with negated values.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH8
DOCUMENT LINKS1
THEOREM

Multiplicative diagonal

RELATIONSHIP ATLAS

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Direct recorded relationships
Step-Two Chronological LogarithmStep-Two ChronologicalLogarithmChronological Signature Group-Like Hopf LawsChronological Signature Group-Like Hopf Laws
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

Consequences

None recorded in this release.

RELATED KNOWLEDGE

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Documents & exposition

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LIBRARY / RELEASE VERSIONS

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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.