Category:Examples of Extensions of Mappings
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This category contains examples of Extension of Mapping.
As a mapping is, by definition, also a relation, the definition of an extension of a mapping is the same as that for an extension of a relation:
Let:
- $f_1 \subseteq X \times Y$ be a mapping on $X \times Y$
- $f_2 \subseteq S \times T$ be a mapping on $S \times T$
- $X \subseteq S$
- $Y \subseteq T$
- $f_2 \restriction_{X \times Y}$ be the restriction of $f_2$ to $X \times Y$.
Let $f_2 \restriction_{X \times Y} = f_1$.
That is, let $f_1$ be a subset of $f_2$.
Then $f_2$ extends or is an extension of $f_1$.
Pages in category "Examples of Extensions of Mappings"
The following 2 pages are in this category, out of 2 total.