countability axioms

countability axioms

[‚kau̇n·tə′bil·əd·ē ‚ax·sē·əmz] (mathematics) Two conditions which are satisfied by a euclidean space and one or the other of which is often assumed in the study of a general topological space; the first states that any point in the topological space has a countable local base, while the second states that the topological space has a countable base.