Browsing by Author "Hildbrand, Mariga"

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    Enumeration of Measurable Functions on Finite Sigma Algebras on Sets with at Most Ten Elements
    (2023) Hildbrand, Mariga; Kivunge, Benard
    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.