Category:Smaller Set

This category contains results about Smaller Set.
Definitions specific to this category can be found in Definitions/Smaller Set.

Let $S$ and $T$ be sets.

Definition 1

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

Definition 2

$S$ is defined as being smaller than $T$ if and only if there exists an injection from $S$ into $T$.