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・ Closed loop
・ Closed loop communication
・ Closed loop manufacturing
・ Closed manifold
・ Closed Mondays
・ Closed monoidal category
・ Closed on Account of Rabies
・ Closed platform
・ Closed position
・ Closed railway stations in Western Australia
・ Closed range theorem
・ Closed schools in the Northland Region
・ Closed session of the United States Congress
・ Closed sessions of the United States House of Representatives
・ Closed sessions of the United States Senate
Closed set
・ Closed shop
・ Closed subgroup theorem
・ Closed subscriber group
・ Closed system
・ Closed system (control theory)
・ Closed system drug transfer device
・ Closed testing procedure
・ Closed timelike curve
・ Closed User Group
・ Closed wing
・ Closed-cell PVC foamboard
・ Closed-circuit
・ Closed-circuit radio
・ Closed-circuit television


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Closed set : ウィキペディア英語版
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.
==Equivalent definitions of a closed set==
In a topological space, a set is closed if and only if it coincides with its closure. Equivalently, a set is closed if and only if it contains all of its limit points.
This is not to be confused with a closed manifold.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Closed set」の詳細全文を読む



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