countably infinite

A set $S$ is countably infinite if there is a bijection between $S$ and $\mathbb{N}$.

As the name implies, any countably infinite set is both countable and infinite.

Countably infinite sets are also sometimes called denumerable.

Title	countably infinite
Canonical name	CountablyInfinite
Date of creation	2013-03-22 11:59:05
Last modified on	2013-03-22 11:59:05
Owner	vampyr (22)
Last modified by	vampyr (22)
Numerical id	7
Author	vampyr (22)
Entry type	Definition
Classification	msc 03E10
Synonym	denumerable
Related topic	NumerableSet