Definition:Set Complement/Notation

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Set Complement: Notation

No standard symbol for the concept of set complement has evolved.

Alternative notations for $\map \complement S$ include variants of the $\complement$:

$\map {\CC} S$
$\map c S$
$\map C S$
$\map {\operatorname C} S$
$\map {\operatorname {\mathbf C} } S$
${}_c S$


and sometimes the brackets are omitted:

$C S$


Alternative symbols for $\overline S$ are sometimes encountered:

$S'$ (but it can be argued that the symbol $'$ is already overused)
$S^*$
$- S$
$\tilde S$
$\sim S$

You may encounter others.


Some authors use $S^c$ or $S^\complement$, but those can also be confused with notation used for the group theoretical conjugate.


Sources

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