Definition:Larger Set

Definition

Let $S$ and $T$ be sets.

$S$ is defined as being larger than $T$ if and only if there exists a bijection from $T$ to a subset of $S$.

$S$ is larger than $T$ can be denoted:

$S \ge T$

Also known as

If $S$ is larger than $T$, then $S$ is said to be of higher cardinality than $T$.

Also see

• Definition:Strictly Larger Set

• Definition:Smaller Set
• Definition:Strictly Smaller Set