Ancestors (6)
Incoming links (205)
- Absoluteness of cardinalhood in limit ranks
- Almost disjoint family on a regular cardinal
- Binary string
- Bounded weak compositions
- Cantor pairing function
- Cardinal collapse
- Cardinalhood is Pi-one definable
- Cardinality
- Cardinality of integer-periodic function spaces
- Character-sum cancellation lemma
- Conditional entropy under a deterministic change of variables
- Conjugate functions
- Conjugate subset
- Countable-family diamond equivalence
- Countably infinite set
- Currying law for cardinal exponentiation
- Decimal trailing-zero pairing function
- Dedekind-finite set
- Directed ladder self-avoiding walk count
- Dual Robinson–Schensted–Knuth correspondence
- Finite additive group
- Finite full-support measure-preserving map is bijective
- Free-forgetful Eilenberg-Moore adjunction
- Hom-set detection of categorical limits
- Increasing enumeration of an infinite subset of natural numbers
- Inner models with all reals preserve omega-one
- Invertible linear map
- Linear isomorphism
- Natural bijection
- Order automorphism
- Order isomorphism
- Parabola obstruction to countable line coverings
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- Permutation
- Pointwise periodic self-map
- Real-number pairing by separated digits
- Robinson–Schensted correspondence
- Sign homomorphism
- Uncountability of permutations of a countably infinite set
- Uncountable set
- Uniqueness of functor representations
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A **bijection** is a type of function in mathematics that establishes a one-to-one correspondence between elements of two sets. A function \( f: A \to B \) is called a bijection if it satisfies two main properties: 1. **Injective (One-to-One):** For every pair of distinct elements \( a_1, a_2 \in A \), \( f(a_1) \neq f(a_2) \).