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).

Nearby words

  1. axiological,
  2. axiological ethics,
  3. axiology,
  4. axiom,
  5. axiom of choice,
  6. axiomatic,
  7. axion,
  8. axioplasm,
  9. axioversion,
  10. axipetal

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019