Vectors and vector fields of \(k\)-th order on differential spaces. (English) Zbl 0808.58008

Summary: The purpose of this paper is to introduce the notions of tangent vectors and tangent vector fields of \(k\)-th order to a differential space \((M,C)\). We prove also the fundamental properties of these notions.


58A40 Differential spaces
57R25 Vector fields, frame fields in differential topology
58A30 Vector distributions (subbundles of the tangent bundles)