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:
“We are closed in, and the key is turned
On our uncertainty;”
—William Butler Yeats (1865–1939)
“One of the main tasks of adolescence is to achieve an identity—not necessarily a knowledge of who we are, but a clarification of the range of what we might become, a set of self-references by which we can make sense of our responses, and justify our decisions and goals.”
—Terri Apter (20th century)