Dictionary.com
Thesaurus.com

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.

See Examples For:

According to Kavanaugh, even Wong Kim Ark’s closed set of constitutional exceptions can be expanded to apply “to new circumstances” based on subsequent developments “largely unknown or unanticipated” by the Framers of the 14th Amendment.

From Slate ● Jul. 15, 2026

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 ● Dec. 2, 2022

The team will be filming at the Ulster Folk Museum, just outside Belfast, but on a closed set with an invited audience only due to the Covid-19 pandemic.

From BBC ● Aug. 14, 2021

It was shot on a closed set off-site in Orlando and looked more like a film than a wrestling match.

From Los Angeles Times ● May 15, 2020

They turned to a closed set of double doors.

From "Book Scavenger" by Jennifer Chambliss Bertman

Vocabulary.com logo
by dictionary.com

Dictionary.com's Learning Companion

Go beyond just looking up words.
Remember them forever with VocabTrainer.

Start training