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Surjective function

In mathematics, a surjective function (also known as surjection, or onto function /ˈɒn.tuː/) is a function f such that, for every element y of the function's codomain, there exists at least one element x in the function's domain such that f(x) = y. In other words, for a function f : X → Y, the codomain Y is the image of the function's domain X. It is not…

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GraphMappingSubsetPreimagesGallery
26 related topics

Examples

Identity functionModEvenIntegersOdd
15 related topics

Overview

MathematicsFunctionCodomainDomainImage
15 related topics

The set of surjections

Twelvefold wayStirling number of the second kind
2 related topics

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Definition

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The set of surjections

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Surjective function

Nodes65
Edges64
Triples40
Avg. degree1.97
Density0.030769
Components1

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Surjective function

Top relations

related to Composition and decomposition · 8
Surjective function → Any, Conversely, For, If, The, Then, These, To
related to Examples · 7
Surjective function → For, However, In, It, Its, The, Under
related to Surjections as epimorphisms · 6
Surjective function → Any, Greek, Right-cancellative, Specifically, The, This
related to Induced surjection and induced bijection · 5
Surjective function → Any, Equivalently, Let, More, Then
related to Definition · 4
Surjective function → Equivalently, RIGHTWARDS TWO HEADED ARROW, Surjections, Symbolically
related to Surjections as right invertible functions · 4
Surjective function → Every, For, In, The
related to Cardinality of the domain of a surjection · 3
Surjective function → If, Specifically, The
is a · 1
Surjective function → function whose image is equal to its codomain
related to Gallery · 1
Surjective function → An
related to Surjections as binary relations · 1
Surjective function → Any

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Important terminology

function surjective domain codomain inverse surjection every right one set composition image injective defined functions bijective real map least element

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Surjective functionis afunction whose image is equal to its codomain0.90text
Surjective functionrelated to Cardinality of the domain of a surjectionThe0.60section
Surjective functionrelated to Cardinality of the domain of a surjectionIf0.60section
Surjective functionrelated to Cardinality of the domain of a surjectionSpecifically0.60section
Surjective functionrelated to Composition and decompositionThe0.60section
Surjective functionrelated to Composition and decompositionIf0.60section
Surjective functionrelated to Composition and decompositionConversely0.60section
Surjective functionrelated to Composition and decompositionThese0.60section
Surjective functionrelated to Composition and decompositionAny0.60section
Surjective functionrelated to Composition and decompositionFor0.60section
Surjective functionrelated to Composition and decompositionTo0.60section
Surjective functionrelated to Composition and decompositionThen0.60section

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