In geometry, topology, and related branches of mathematics, a closed set is a set whose complement is an open set. In a topological space, a closed set can be defined as a set which contains all its limit points. In a complete metric space, a closed set is a set which is closed under the limit operation.
Read more about Closed Set: Equivalent Definitions of A Closed Set, Properties of Closed Sets, Examples of Closed Sets, More About Closed Sets
Famous quotes containing the words closed and/or set:
“For a long time, I went to bed early. Sometimes, my candle barely put out, my eyes closed so quickly that I did not have the time to say to myself: “I am falling asleep”.”
—Marcel Proust (1871–1922)
“I hate the whole race.... There is no believing a word they say—your professional poets, I mean—there never existed a more worthless set than Byron and his friends for example.”
—Arthur Wellesley, 1st Duke Wellington (1769–1852)