Mapping of Classical Sets to Functions

Mapping is an important concept in relating the elements or subsets of one universal set to elements or sets in another universe of discourse. If X and Y are two different universal sets, and if element x is contained in ‘X’ corresponds to an element 1 contained in ‘Y’ then it is generally termed as a mapping from X to Y or as f : X -> Y

function mapping from X to Y

When A ={x, y, z}, mapping the characteristic function membership of elements is denoted by χA and is defined as: Membership of element x in set A χA = 1, x ∈ A
where x represents an element in set A.