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:
“Pray but one prayer for me ‘twixt thy closed lips,
Think but one thought of me up in the stars.”
—William Morris (1834–1896)
“I do not set my life at a pin’s fee,
And for my soul, what can it do to that,
Being a thing immortal as itself?”
—William Shakespeare (1564–1616)
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