codimension
Sign in to saveIn mathematics, codimension is a basic geometric idea that applies to subspaces in vector spaces, to submanifolds in manifolds, and suitable subsets of algebraic varieties.
~6 min read
Article
6 sectionsContents
- Definition
- Additivity of codimension and dimension counting
- Dual interpretation
- In geometric topology
- See also
- References
In mathematics, codimension is a basic geometric idea that applies to subspaces in vector spaces, to submanifolds in manifolds, and suitable subsets of algebraic varieties.
For affine and projective algebraic varieties, the codimension equals the height of the defining ideal. For this reason, the height of an ideal is often called its codimension.
Connections
linear independence
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linear subspace
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mathematics
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geometry
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International Standard Book Number
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complex number
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integer
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vector space
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subset
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union
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intersection
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parallelism
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manifold
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linear programming
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parameter
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ideal
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knot theory
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algebraic variety
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degree of freedom
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dimension of a vector space
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