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 |
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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 |