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axiom of countability

American  

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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Idioms from The American Heritage® Idioms Dictionary copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.