closed set


noun Mathematics.

a set that contains all of its accumulation points, as the set of points on and within a circle; a set having an open set as its complement.

Nearby words

  1. closed reduction,
  2. closed rule,
  3. closed scholarship,
  4. closed season,
  5. closed sentence,
  6. closed shell,
  7. closed shop,
  8. closed source,
  9. closed stance,
  10. closed surgery

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


British Dictionary definitions for closed set

closed set

noun maths

a set that includes all the values obtained by application of a given operation to its members
(in topological space) a set that contains all its own limit points
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012