Category:Examples of Restrictions of Mappings

From ProofWiki
Jump to navigation Jump to search

This category contains examples of Restriction of Mapping.

Let $f: S \to T$ be a mapping.

Let $X \subseteq S$.

Let $f \sqbrk X \subseteq Y \subseteq T$.


The restriction of $f$ to $X \times Y$ is the mapping $f {\restriction_{X \times Y} }: X \to Y$ defined as:

$f {\restriction_{X \times Y} } = f \cap \paren {X \times Y}$


If $Y = T$, then we simply call this the restriction of $f$ to $X$, and denote it as $f {\restriction_X}$.

Pages in category "Examples of Restrictions of Mappings"

The following 3 pages are in this category, out of 3 total.