first axiom of countability
A topological space
satisfies the first axiom of countability
if the neighborhood system of every point has a countable local base. A space that satisfies the first axiom of countability is said to be first-countable.
| Title | first axiom of countability |
|---|---|
| Canonical name | FirstAxiomOfCountability |
| Date of creation | 2013-03-22 12:22:13 |
| Last modified on | 2013-03-22 12:22:13 |
| Owner | drini (3) |
| Last modified by | drini (3) |
| Numerical id | 5 |
| Author | drini (3) |
| Entry type | Definition |
| Classification | msc 54-00 |
| Synonym | first-countable |
| Related topic | SecondCountable |
| Related topic | LocalBase |