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axiom of countability

noun, Mathematics
1.
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)
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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