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A projection is a function that fixes the points in its image: applying it twice has the same effect as applying it once. A coordinate projection can be represented this way when its target is identified with a retract; a linear projection additionally respects the vector-space operations.
In mathematics, "projection" can refer to several concepts depending on the context, but it typically involves the idea of reducing a higher-dimensional object to a lower-dimensional representation or mapping points from one space to another. Here are some common interpretations of projection: 1. **Linear Projection in Linear Algebra**: In the context of vector spaces, a projection refers to a linear transformation that maps a vector onto a subspace.