Definition 1.2.6: One-one, Onto, Bijection

A function f from A to B is called one to one (or one-one) if whenever f(a) = f(b) then a = b. Such functions are also called injections.

A function f from A to B is called onto if for all b in B there is an a in A such that f(a) = b. Such functions are also called surjections.

A function f from A to B is called a bijection if it is one to one and onto, i.e. bijections are functions that are injective and surjective.

Context Context


Interactive Real Analysis, ver. 1.9.5
(c) 1994-2007, Bert G. Wachsmuth
Page last modified: Mar 28, 2007