countably infinite

A set S is countably infiniteMathworldPlanetmath if there is a bijection between S and .

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

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