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)
“The business of a novelist is, in my opinion, to create characters first and foremost, and then to set them in the snarl of the human currents of his time, so that there results an accurate permanent record of a phase of human history.”
—John Dos Passos (1896–1970)