In mathematics, the fiber of a point y in Y under a function f : X → Y is the inverse image of {y} under f, that is, <math>f^{-1}(\{y\})=\{x \in X : f(x) = y\}</math> In a variant phrase, this is also called the fiber of f at y. It is also commonly denoted <math>f^{-1}(y)</math>. In various applications, this is also called: The preimage of y under f, or the preimage of f at y.

PropertyValue
dbpprop:abstract
  • In mathematics, the fiber of a point y in Y under a function f : X → Y is the inverse image of {y} under f, that is, <math>f^{-1}(\{y\})=\{x \in X : f(x) = y\}</math> In a variant phrase, this is also called the fiber of f at y. It is also commonly denoted <math>f^{-1}(y)</math>. In various applications, this is also called: The preimage of y under f, or the preimage of f at y. (However, this terminology can also be used in such a way that we would speak of the preimages of subsets of Y; thus, we would say the preimage of {y} under f) The level set of y under f, or the level set of f at y. In the same contexts, the spelling fibre is also seen.
dbpprop:hasPhotoCollection
rdfs:comment
  • In mathematics, the fiber of a point y in Y under a function f : X → Y is the inverse image of {y} under f, that is, <math>f^{-1}(\{y\})=\{x \in X : f(x) = y\}</math> In a variant phrase, this is also called the fiber of f at y. It is also commonly denoted <math>f^{-1}(y)</math>. In various applications, this is also called: The preimage of y under f, or the preimage of f at y.
rdfs:label
  • Fiber (mathematics)
owl:sameAs
skos:subject
foaf:page
is dbpprop:disambiguates of