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:
“My old Father used to have a saying that “If you make a bad bargain, hug it the tighter”; and it occurs to me, that if the bargain you have just closed [marriage] can possibly be called a bad one, it is certainly the most pleasant one for applying that maxim to, which my fancy can, by any effort, picture.”
—Abraham Lincoln (1809–1865)
“The eyes that drew from me such fervent praise,
The arms and hands and feet and countenance
Which made me a stranger in my own romance
And set me apart from the well-trodden ways;”
—Petrarch (1304–1374)