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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)
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