Closed

Quick meaning: Closed is an adjective meaning Physically obstructed, sealed, etc.

Meaning

Physically obstructed, sealed, etc.

More Meanings

1. Not available for operation, participation, interaction, etc.
2. Completed, finalised.
3. (topology, of a set) Having an open complement.
4. (mathematics, of a set) Such that its image under the specified operation is contained in it.
5. (mathematics, logic, of a formula) Lacking a free variable.
6. (geometry, of a curve) Lacking endpoints. For parametric curves, with the same image for the ends of the domain.
7. (geometry, of a surface) Lacking a boundary.

Example Sentences

The set of integers is closed under addition: #92;forallx,y#92;in#92;mathbb#123;Z#125;,#92;,x#43;y#92;in#92;mathbb#123;Z#125;.

Synonyms for closed

Depending on context, synonyms include shut, close, drawn, tight, enclosed, restricted.

Antonyms for closed

Common opposites include open, opened.

Related Words

Related dictionary entries include blocked, shut, restricted, inactive, tight, compressed.

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