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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.

Were those sequences filmed on a closed set?

From Los Angeles Times

She explained that it was important for her that the scene was shot on a closed set with an intimacy coordinator.

From Los Angeles Times

She said some crew members told her not to film them on the closed set, in case, she said, it was discovered they had worked on Rust "and I might never get a job again".

From BBC

"There has been some stuff happening in rehearsals where it's been a completely closed set," divulged his co-host and Eurovision husband Scott Mills.

From BBC

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