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Preimage

Related Terms:

domain codomain isometry fibre image continuous fiber covering space function preimages injective

Noun

Definition: For a given function, the set of all elements of the domain that are mapped into a given subset of the codomain; (formally) given a function ƒ : X → Y and a subset B ⊆ Y, the set ƒ^(−1)(B) = {x ∈ X : ƒ(x) ∈ B}.

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