Combinatorics / CONCEPT
Descending Triples and Direct Sums
Descending endpoints confine triples to a single direct-sum factor, and 312-avoidance orders record blocks.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH7
DOCUMENT LINKS1
Triples in a direct sum
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A Consecutive Pair Forced by a Returnstructural-affinity · Closed
- Incompatible Middle Cycle Datastructural-affinity · Closed
- Indecomposability of Pattern Avoidersstructural-affinity · Closed
- Partition into Marked Intervalsstructural-affinity · Closed
- Separated Prefixesstructural-affinity · Closed
- The Entry Following the Maximumstructural-affinity · Closed
- The High Prefix before Onestructural-affinity · Closed
- The Prefix before One in a 231-Avoiderstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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