In mathematics, codimension is a basic geometric idea that applies to subspaces in vector spaces, and also to submanifolds in manifolds, and suitable subsets of algebraic varieties. The dual concept is relative dimension. ==Definition== Codimension is a relative concept: it is only defined for one object inside another. There is no `codimension .....
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In general, if a mathematical object sits inside or is associated to another object of dimension n, then it is said to have codimension k if it has dimension n - k.
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