Continuity of liftings. (English) Zbl 0677.58006

Mikulski, W. M.

Čas. Pěstování Mat. 113, No. 4, 359-362 (1988).

From the author’s summary: Conditions are given under which \(L(M)\sigma_ m(v_ m)\) tend to L(M)\(\sigma\) (v), where L is a lifting, M a manifold, \(\sigma_ m\) and \(\sigma\) are sections defined in a neighborhood of \(x\in M\) such that \(j_ x^{\infty}(\sigma_ m)\) tend to \(j_ x^{\infty}(\sigma)\), and \(v_ m\) is a sequence of points over x tending to v.

Reviewer: A.Stone

MSC:

58A20	Jets in global analysis
53A55	Differential invariants (local theory), geometric objects

Keywords:

liftings; natural bundles; continuity of liftings