[Math] Symbol of a partition

elementary-set-theorynotation

I have a series of subsets that form a set however each subset is actually a partition. Currently I use the conventional subset symbol when writing the appropriate notation and then note the subsets are partitions in the following (or preceding) text. However, it would be good to have a symbol that refers to a partition naturally just like any other set theory notion. Yet, despite looking in various sources and I haven't come across anything so far. So is there a conventionally accepted maths notation/symbol for a partition? Personally have no problem allocating a suitable symbol if none currently exists but I don't want to 'reinvent the wheel' if I can avoid it.

Best Answer

If $(P_i)_{i \in I}$ is a partition of a set $Q$ you can write

$\dot\bigcup_{i \in I} P_i=Q$ to denote

$\bigcup_{i \in I} P_i=Q$ and $P_i \cap P_j= \emptyset$ for $i,j \in I$ with $i \ne j$.

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