countably infinite (original) (raw)
A set S is countably infinite
if there is a bijection between S and 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 |