an algebra of continuous functions on its Gelfand spectrum. It can also be seen as the construction as a duality between the category of commutative C*-algebras and that of compact Hausdorff spaces. The Riesz–Markov–Kakutani representation theorem is actually a list of several theorems; one of them identifies the dual space of C0(X) with the set of regular measures on X. Geometry The Whitney embedding theorems embed any abstract manifold in some Euclidean space. The Nash embedding theorem embeds an abstract Riemannian manifold isometrically in a Euclidean space. Economics A preference representation theorem states conditions for the existence of a utility function representing a preference relation. Examples are Von Neumann–Morgenstern utility theorem and Debreu's representation theorems. See also Classification theorem References Mathematical theorems