Closed may refer to:
Mathematics
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Closure (mathematics)
In mathematics, a subset of a given set (mathematics), set is closed under an Operation (mathematics), operation on the larger set if performing that operation on members of the subset always produces a member of that subset. For example, the natu ...
, a set, along with operations, for which applying those operations on members always results in a member of the set
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Closed set
In geometry, topology, and related branches of mathematics, a closed set is a Set (mathematics), set whose complement (set theory), complement is an open set. In a topological space, a closed set can be defined as a set which contains all its lim ...
, a set which contains all its limit points
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Closed interval, an interval which includes its endpoints
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Closed line segment, a line segment which includes its endpoints
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Closed manifold
In mathematics, a closed manifold is a manifold Manifold with boundary, without boundary that is Compact space, compact.
In comparison, an open manifold is a manifold without boundary that has only ''non-compact'' components.
Examples
The onl ...
, a compact manifold which has no boundary
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Closed differential form, a differential form whose exterior derivative is 0
Sport
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Closed tournament, a competition open to a limited category of players
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Closed (poker), a betting round where no player will have the right to raise
Other uses
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''Closed'' (album), a 2010 album by Bomb Factory
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Closed GmbH, a German fashion brand
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Closed class, in linguistics, a class of words or other entities which rarely changes
See also
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Close (disambiguation)
Close may refer to:
Music
* ''Close'' (Kim Wilde album), 1988
* ''Close'' (Marvin Sapp album), 2017
* ''Close'' (Sean Bonniwell album), 1969
* "Close" (Sub Focus song), 2014
* "Close" (Nick Jonas song), 2016
* "Close" (Rae Sremmurd song), 201 ...
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Closed loop (disambiguation)
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Closing (disambiguation)
Closing may refer to:
Business and law
* Closing (law), a closing argument, a summation
* Closing (real estate), the final step in executing a real estate transaction
* Closing (sales), the process of making a sale
* Closing a business, the pro ...
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Closure (disambiguation)
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Open (disambiguation)
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