Enumeration of measurable functions on finite sigma algebras on sets with at most ten elements

Sigma algebras plays an integral role in explaining the entire concept of measure theory, majorly because it’s a collection of subsets of a given set, whereby the subsets can be finite or infinite intriguingly, measurable functions are derived by this concept of  sigma algebras. This paper provides a formidable guide towards deriving the respective measurable functions using finite sigma algebras by examining sigma algebras associated to a given set X and their corresponding measurable functions. Finite  algebras will be constructed by ensuring all the axioms of  algebras are satisfied.