Preimage

English

Etymology

From Template:Prefix.

Pronunciation

• Template:Rhymes

Noun

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

   Template:Ux

   • 1967 [Academic Press], Francois Treves, Topological Vector Spaces, Distributions and Kernels, 2006, Dover, page 22,

     The preimage of a neighborhood U of 0 in E must be a neighborhood of (0,x), since (0,x) is mapped into 0.

   • Template:Quote-book
   • Template:Quote-book

Synonyms

• Template:Sense Template:L

Hyponyms

• Template:Sense Template:L

Derived terms

• Template:L

Related terms

• Template:L

Translations

• Chinese:

  Mandarin: Template:T+

• Esperanto: Template:T, Template:T, Template:T
• Finnish: Template:T
• French: Template:T+, Template:T+
• German: Template:T+
• Polish: Template:T+
• Portuguese: Template:T
• Spanish: Template:T, Template:T, Template:T

Further reading

• Template:Pedia
• Template:Pedia