A bijection, bijective function, or one-to-one correspondence between two mathematical sets is a function such that each element of the second set (the...

In mathematics, injections, surjections, and bijections are classes of functions distinguished by the manner in which arguments (input expressions from...

uncountable. Also, by using a method of construction devised by Cantor, a bijection will be constructed between T and R. Therefore, T and R have the same...

(surjection, not a bijection) An injective surjective function (bijection) An injective non-surjective function (injection, not a bijection) A non-injective...

In graph theory, an isomorphism of graphs G and H is a bijection between the vertex sets of G and H f : V ( G ) → V ( H ) {\displaystyle f\colon V(G)\to...

is that no bijection can exist between {1, 2, ..., n} and {1, 2, ..., m} unless n = m; this fact (together with the fact that two bijections can be composed...

actions Function composition; transformation group Comparing Enumeration Bijection; cardinal number; order Timing Before & After Linear order Counting Successor...

two approaches to cardinality: one which compares sets directly using bijections and injections, and another which uses cardinal numbers. The cardinality...

(injection, not a bijection) An injective surjective function (bijection) A non-injective surjective function (surjection, not a bijection) A non-injective...

According to the second meaning, a permutation of a set S is defined as a bijection from S to itself. That is, it is a function from S to S for which every...