There are 19 maps with domain 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
Set partitionsInteger compositionsInteger partitionsPermutationsSet partitionsStandard tableauxto compositionshapeto permutationcomplementKasraoui-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 increasingStandard tableau associated to a set partition