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
In mathematics, a real interval is the set of all real numbers lying between two fixed endpoints with no "gaps". Each endpoint is either a real number or positive or negative infinity, indicating the interval extends without a bound. A real in ...
, an interval which includes its endpoints
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Closed line segment
In geometry, a line segment is a part of a straight line that is bounded by two distinct endpoints (its extreme points), and contains every point on the line that is between its endpoints. It is a special case of an '' arc'', with zero curvat ...
, 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
In mathematics, especially vector calculus and differential topology, a closed form is a differential form ''α'' whose exterior derivative is zero (); and an exact form is a differential form, ''α'', that is the exterior derivative of another di ...
, a differential form whose exterior derivative is 0
Sport
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Closed tournament
Closed may refer to:
Mathematics
* Closure (mathematics), a set, along with operations, for which applying those operations on members always results in a member of the set
* Closed set, a set which contains all its limit points
* Closed interval, ...
, a competition open to a limited category of players
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Closed (poker)
In the game of poker, the play largely centers on the act of betting, and as such, a protocol has been developed to speed up play, lessen confusion, and increase security while playing. Different games are played using different types of bets, ...
, a betting round where no player will have the right to raise
Other uses
* Closed (album), ''Closed'' (album), a 2010 album by Bomb Factory
* Closed GmbH, a German fashion brand
* Closed class, in linguistics, a class of words or other entities which rarely changes
See also
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* Close (disambiguation)
* Closed loop (disambiguation)
* Closing (disambiguation)
* Closure (disambiguation)
* Open (disambiguation)
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