Looking at osculating bundles through the semiholonomic equalizations

Abstract

The paper glosses different forms of an introducing of higher order tangent-like functors, especially functors derived from higher order nonholonomic tangent functors. A special attention is devoted to higher order osculating bundles: their identification with higher order tangent bundles is demonstrated as the main result. Chiefly, the paper is focused on the needful unification of concepts.