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:
“Night hath closed all in her cloak,
Twinkling stars love-thoughts provoke,
Danger hence good care doth keep,
Jealousy itself doth sleep;”
—Sir Philip Sidney (1554–1586)
“When I married Humphrey I made up my mind to like sermons, and I set out by liking the end very much. That soon spread to the middle and the beginning, because I couldn’t have the end without them.”
—George Eliot [Mary Ann (or Marian)