I can use \mathbb{Z} to represent an integer type
but what symbol I should denote a set of integer?
[Tex/LaTex] Symbol for Set of Integer
symbols
Related Solutions
Edit I thought amssymb provides \cupdot which does what you want... but it doesn't.
\usepackage{MnSymbol} provides \cupdot and \bigcupdot but is incompatible with amssymb which is unfortunate.
Sometimes disjoint union is depicted using \sqcup which has the advantage of being in amssymb
As the commenters have said, there isn't a strong consensus on this one. Here are a few conventions I know about:
\documentclass{minimal}
\usepackage{amsmath}
\usepackage{amssymb}
\newcommand{\eqn}{\[
\stcomp{(A \cup B)} = \stcomp{A} \cap \stcomp{B}
\]}
\begin{document}
\newcommand{\stcomp}[1]{{#1}^\complement} \eqn
\renewcommand{\stcomp}[1]{\overline{#1}} \eqn
\renewcommand{\stcomp}[1]{{#1'}} \eqn
\renewcommand{\stcomp}[1]{\widetilde{#1}} \eqn
\renewcommand{\stcomp}[1]{{#1}^{\sim}} \eqn
\renewcommand{\stcomp}[1]{{#1}^{\mathsf{c}}} \eqn
\renewcommand{\stcomp}[1]{X\setminus{#1}} \eqn
\end{document}
Of all of these I've used ^\complement the most, and the overbar is the one I've seen the most. I have to say I really like your ^\mathsf{c} implementation.
Best Answer
You could use
\mathbb{Z}to represent the Set of Integers!