trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Reduction along the Distinguished Cycle

The first two fundamental images of the distinguished cycle reduce avoidance to conditions on the parameter.

Closed Authored exposition
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES5
PROOF DEPTH9
DOCUMENT LINKS1
THEOREM

Images and avoidance of the cycle family

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Cycles from Record BlocksCycles from Record BlocksPartition into Marked IntervalsPartition into Marked IntervalsA Distinguished Cycle from a Parameter WordA Distinguished Cycle from aParameter WordIterated Pattern Avoidance and Its CountsIterated Pattern Avoidance andIts CountsReduction along the Distinguished CycleReduction along theDistinguished CycleShape of Parameters with a Final MaximumShape of Parameters with aFinal MaximumLocation of the Parameter MaximumLocation of the ParameterMaximumExplicit Exceptional OrbitsExplicit Exceptional OrbitsThe Increasing Tail FamilyThe Increasing Tail FamilyThe Balanced Two-Block FamilyThe Balanced Two-Block Family
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
9
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/FundamentalBijection/ThetaIterateCycleReduction
Repository path
D5/S3/Combinatorics/FundamentalBijection/ThetaIterateCycleReduction.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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