% A pair of things.
\providecommand*{\pair}[2]{ \left( {#1}, {#2} \right) }
+% The Cartesian product of two things.
+\providecommand*{\cartprod}[2]{ {#1} \times {#2} }
+
+% The Cartesian product of three things.
+\providecommand*{\cartprodthree}[3]{ \cartprod{{#1}}{\cartprod{{#2}}{{#3}}} }
+
%
% Product spaces
%