\bigsqcupThe \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 BDisjoint union of a sequence of sets A_i from i=1 to n
\bigsqcup_{i=1}^{n} A_iA set X expressed as the disjoint union of subsets X_j indexed by J
X = \bigsqcup_{j \in J} X_j