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