first axiom of countability

A topological spaceMathworldPlanetmath (X,τ) satisfies the first axiom of countabilityPlanetmathPlanetmath if the neighborhood system of every point xX 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