Definition:Dominate (Set Theory)/Definition 1

Definition

Let $S$ and $T$ be sets.

Then $S$ is dominated by $T$ if and only if there exists an injection from $S$ to $T$.

The notation $S \preccurlyeq T$ is used to indicate that $S$ dominates $T$.

Also see

• Equivalence of Definitions of Dominate (Set Theory)

Sources

• 1975: T.S. Blyth: Set Theory and Abstract Algebra ... (previous) ... (next): $\S 8$