# first axiom of countability

A topological space $(X,\tau)$ satisfies the first axiom of countability if the neighborhood system of every point $x\in X$ 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 FirstAxiomOfCountability 2013-03-22 12:22:13 2013-03-22 12:22:13 drini (3) drini (3) 5 drini (3) Definition msc 54-00 first-countable SecondCountable LocalBase