Commutative cochains of germs of differential forms for Euclidean compacta

The purpose of the paper is for any compactum K⊂Rn to construct a space Cp(K) of commutative germs of C∞-differential p-forms, which is a reflexive locally convex topological vector space with the Cp(K) as its dual. © 2010 Elsevier B.V.