Stone's theorem may refer to a number of theorems of Marshall Stone:
Stone's representation theorem for Boolean algebras Stone–Weierstrass theorem Stone–von Neumann theorem Stone's theorem on one-parameter unitary groups
It may also refer to the theorem of A. H. Stone that for Hausdorff spaces the property of being a paracompact space and being a fully normal space are equivalent, or its immediate corollary that metric spaces are paracompact.