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:
“No domain of nature is quite closed to man at all times.”
—Henry David Thoreau (1817–1862)
“Hence anyone who seeks for the true cause of miracles, and strives to understand natural phenomena as an intelligent being, and not to gaze at them as a fool, is set down and denounced as a impious heretic by those, whom the masses adore as the interpreters of nature and the gods.”
—Baruch (Benedict)