There are 21 maps with codomain Set partitions in the database:
(and possibly some waiting for verification)
injective
graded
bijective
surjective
involutive
idempotent
Number of maps: 329
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Alternating sign matricesAlternating sign matricesDyck pathsPerfect matchingsPermutationsSemistandard tableauxBinary treesBinary treesGraphsOrdered treesPosetsBinary wordsBinary wordsInteger compositionsCoresInteger partitionsDecorated permutationsDyck pathsSet partitionsSkew partitionsStandard tableauxFinite Cartan typesGelfand-Tsetlin patternsGelfand-Tsetlin patternsGraphsLatticesInteger compositionsInteger partitionsLatticesOrdered set partitionsOrdered set partitionsOrdered treesParking functionsParking functionsPerfect matchingsPermutationsSigned permutationsPlane partitionsPlane partitionsPosetsSemistandard tableauxSet partitionsSigned permutationsSkew partitionsStandard tableaux
Dyck pathsOrdered set partitionsPerfect matchingsPermutationsSet partitionsStandard tableauxSet partitionsto noncrossing partitionto set partitionto set partitionto cycle typeweak exceedance partitioncomplementKasraoui-ZengChen Deng Du Stanley Yanintertwining number to dual major indexdual major index to intertwining numberrotate decreasingWachs-Whiteinverse Wachs-WhiteWachs-White-rho inverse Wachs-White-rhoinverse YipYipconjugateCallan switchrotate increasingrows