Identifier
There are 6 maps with domain Set partitions in the database. There are possibly some more waiting for verification.

Mp00079Set partitions ⟶ Integer partitions
shape
Mp00080Set partitions ⟶ Permutations
to permutation
Mp00091Set partitions ⟶ Set partitions
Cyclic rotation
Mp00112Set partitions ⟶ Set partitions
reverse
Mp00115Set partitions ⟶ Set partitions
Kasraoui-Zeng
Mp00128Set partitions ⟶ Integer compositions
to composition