\(\DeclarePairedDelimiterX{\Set}[2]{\{}{\}}{#1 \nonscript\;\delimsize\vert\nonscript\; #2}\) \( \DeclarePairedDelimiter{\set}{\{}{\}}\) \( \DeclarePairedDelimiter{\parens}{\left(}{\right)}\) \(\DeclarePairedDelimiterX{\innerproduct}[1]{\langle}{\rangle}{#1}\) \(\newcommand{\ip}[1]{\innerproduct{#1}}\) \(\newcommand{\bmat}[1]{\left[\hspace{2.0pt}\begin{matrix}#1\end{matrix}\hspace{2.0pt}\right]}\) \(\newcommand{\barray}[1]{\left[\hspace{2.0pt}\begin{matrix}#1\end{matrix}\hspace{2.0pt}\right]}\) \(\newcommand{\mat}[1]{\begin{matrix}#1\end{matrix}}\) \(\newcommand{\pmat}[1]{\begin{pmatrix}#1\end{pmatrix}}\) \(\newcommand{\mathword}[1]{\mathop{\textup{#1}}}\)
Needs:
Direct Products
›
Family Unions and Intersections
›
Needed by:
None.
Links:
Sheet PDF
›
Graph PDF
›
Family Products and Unions
Why
We study how family unions and direct products interact.
Result
The following is easy.
1
$(\union_{i} A_i) \times (\union_j B_j) = \union_{i, j} (A_i \times B_j)$.
An account will appear in future editions.
↩︎
Family Products and Unions
Links:
Sheet PDF
›
Graph PDF
›
Needs:
Direct Products
›
Family Unions and Intersections
›
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13a6779cc
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