Closed Set

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:

    “Had I made capital on my prettiness, I should have closed the doors of public employment to women for many a year, by the very means which now makes them weak, underpaid competitors in the great workshop of the world.”
    —Jane Grey Swisshelm (1815–1884)

    “It is not unkind to say, from the standpoint of scenery alone, that if many, and indeed most, of our American national parks were to be set down on the continent of Europe thousands of Americans would journey all the way across the ocean in order to see their beauties.”
    —Franklin D. Roosevelt (1882–1945)