Set Theory - Bijection function (One-to-one relationship)
About
A Bijection is a mathematical / set function between the elements of two sets (ie binary function) where
- each element of one set is paired with exactly one element of the other set,
- each element of the other set is paired with exactly one element of the first set.
- there are no unpaired elements
This function is also known as:
- the one-to-one relationship
- or invertible function
Articles Related
Example
- A bijection (Ref
- Not a bijection
Properties
A function f: R → R is bijective if and only if its graph meets every horizontal and vertical line exactly once.