second axiom of countability


noun Mathematics.

Words nearby second axiom of countability

Definition for second axiom of countability (2 of 2)

axiom of countability

noun Mathematics.

the property satisfied by a topological space in which the neighborhood system of each point has a base consisting of a countable number of neighborhoods (first axiom of countability) or the property satisfied by a topological space that has a base for its topology consisting of a countable number of subsets of the space (second axiom of countability).