In mathematics, if is a subset of, then the inclusion map (also inclusion function, insertion, or canonical injection) is the function that sends each element, of to, treated as an element of :
A "hooked arrow" is sometimes used in place of the function arrow above to denote an inclusion map.
This and other analogous injective functions from substructures are sometimes called natural injections.
Given any morphism between objects X and Y, if there is an inclusion map into the domain, then one can form the restriction fi of f. In many instances, one can also construct a canonical inclusion into the codomain R→Y known as the range of f.
Read more about Inclusion Map: Applications of Inclusion Maps
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