\bigsqcup
The \bigsqcup operator is used to denote the disjoint union of sets. It is often used in set theory and related fields to represent the union of sets that are pairwise disjoint.
Disjoint union of sets A and B
A \bigsqcup B
Disjoint union of a sequence of sets A_i from i=1 to n
\bigsqcup_{i=1}^{n} A_i
A set X expressed as the disjoint union of subsets X_j indexed by J
X = \bigsqcup_{j \in J} X_j