Roster Notation

Pub Feb 16, 2026 Up Jun 23, 2026

Definition 1. Roster Notation. For any sets $a_1$, $\cdots$, $a_n$ ($n \geq 3$), we write

\[\{a_1, \cdots, a_n\} = \{a_1\} \cup \cdots \cup \{a_n\}.\]

Roster Notation is also known as Enumeration Notation.


References

[1]
Wikipedia contributors. Set (mathematics) § Roster notation. Wikipedia, The Free Encyclopedia.
[2]
Thomas Jech. Set Theory. 3rd Millennium ed, rev. and expanded. Springer, 2002. p. 9.