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closed set

American  

noun

Mathematics.
  1. 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.


closed set British  

noun

  1. a set that includes all the values obtained by application of a given operation to its members

  2. (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

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

The scene was filmed on a closed set, Ms. Hussey recalled in the memoir, meaning that only essential crew members were allowed to be present, but there was one incident in which a “dirty old man” on the crew had to be removed, she wrote.

From New York Times

Worthy FM's licensee told Ofcom changes would be made, including the strengthening of compliance controls in light of the incident, the computer only containing safe songs and the studio being treated as a closed set to minimise presenter distraction.

From BBC

On a closed set of about eight people, with music blasting to pump them up, Corrin and O’Connell cut loose.

From New York Times

“But it looks different because you run out of a different formation. You run it with a tight end, without a tight end. You run it with a motion. You run it out of a closed set, a wide set.”

From Seattle Times

Those sex scenes Grey had to shoot without warning, without a closed set.

From Washington Post