surjective
Adjective
Meaning
surjective (not comparable)
(mathematics) of, relating to, or being a surjection
Synonym: onto
Synonyms
Related terms
Phrases with the word
Examples
A function f has a right inverse if and only if it is surjective (though constructing such an inverse in general requires the axiom of choice ).
Any surjective function induces a bijection defined on a quotient of its domain by collapsing all arguments mapping to a given fixed image.
Alternative (equivalent) formulations of the definition in terms of a bijective function or a surjective function can also be given.
A partial function is said to be injective or surjective when the total function given by the restriction of the partial function to its domain of definition is.
A partial function may be both injective and surjective.
Another surjective function.