[Math] Symbol for set all partitions of a set

notation

Is there a symbol for set all partitions of a set (like P for Power set)?

P.S. I need such symbol in writing some mathematical related notes.

Best Answer

See this answer to a similar question on MO. I suggest stealing notation from combinatorics and letting $\mathrm{B}_S$ denote the set of partitions of $S$, since the Bell number $\mathrm{B}_{|S|}$ is the number of partitions of $S$.

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