- 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...
- (injection, not a
bijection) An
injective surjective function (
bijection) A non-injective
surjective function (surjection, not a
bijection) A non-injective...
- 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...
- when
referring to cardinality: one
which compares sets
directly using bijections and injections, and
another which uses
cardinal numbers. The cardinality...
-
isomorphism if it
satisfies the
following properties f {\displaystyle f} is a
bijection f {\displaystyle f} is
uniformly continuous the
inverse function f − 1...
- set is Dedekind-finite if it is not Dedekind-infinite (i.e., no such
bijection exists).
Proposed by
Dedekind in 1888, Dedekind-infiniteness was the first...
