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Bijection

In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between two sets such that each element of the second set (the codomain) is the image of exactly one element of the first set (the domain). Given a function f : A → B {\displaystyle f:A\to B} , the image of an element a ∈ A {\displaystyle a\in A} is the element f…

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Inverses

Cardinality

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Category theory

Generalization to partial functions

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Bijection

Nodes77
Edges76
Triples58
Avg. degree1.97
Density0.025974
Components1

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Bijection

Top relations

related to External links · 11
Bijection → Earliest Uses, EMS Press, Encyclopedia, Eric, Injection, Mathematics, MathWorld, Some, Surjection, Weisstein, Words
related to More mathematical examples · 8
Bijection → Bernstein, By Schröder, Each, For, However, If, More, The
related to Cardinality · 5
Bijection → Any, If, Indeed, Likewise, This
related to Category theory · 5
Bijection → Bijections, For, Grp, However, Set
related to Properties · 5
Bijection → Bijections, For, If, SX, That
related to Seats and students of a classroom · 5
Bijection → After, Every, In, No, What
related to Fingerprints · 4
Bijection → Assuming, Consider, Furthermore, Since
related to Inverses · 4
Bijection → Functions, Moreover, Stated, The
see also · 3
Bijection → Ax, Grothendieck, Mathematics
is a · 2
Bijection → function which is both a surjection and an injection, relation between two sets such that each element of either set is paired with exactly one element of the other set.A function is bijective if and only if it is invertible

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Important terminology

function set bijective sets two domain injective inverse surjective functions element mathematics number displaystyle one-to-one one bijections codomain mathematical since

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Bijectionis arelation between two sets such that each element of either set is paired with exactly one element of the other set.A function is bijective if and only if it is invertible0.90text
Bijectionis afunction which is both a surjection and an injection0.90text
Bijectionrelated to CardinalityIf0.60section
Bijectionrelated to CardinalityIndeed0.60section
Bijectionrelated to CardinalityAny0.60section
Bijectionrelated to CardinalityLikewise0.60section
Bijectionrelated to CardinalityThis0.60section
Bijectionrelated to Category theoryBijections0.60section
Bijectionrelated to Category theorySet0.60section
Bijectionrelated to Category theoryHowever0.60section
Bijectionrelated to Category theoryFor0.60section
Bijectionrelated to Category theoryGrp0.60section

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