Section 1.1 & 1.2: Types of Relations

Relations

Given two sets \(A\) and \(B\), We define a relation \(R\) from \(A\) to \(B\) as an arbitrary subset of \(A \times B\).

If \((a, b) \in R\), we say that \(a\) is related to \(b\) under the relation \(R\) and we write as \(a \, R \, b\).

Functions Functions are a special kind of relations. Details will come later.

We will study different types of relations and functions, composition of functions, invertible functions and binary operations.