## There exists a prolongation functor of infinite order.(English)Zbl 0672.58002

A classical result by R. S. Palais and C. L. Terng reads that every prolongation functor on the category $$Mf_ n$$ of n-dimensional manifolds and their local diffeomorphisms has finite order [Topology 16, 271-277 (1977; Zbl 0359.58004)]. The author constructs a prolongation functor on the category of all manifolds and all smooth maps with the property that the sequence of the orders of its restrictions to $$Mf_ n$$ tends to infinity.
Reviewer: I.Kolář

### MSC:

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

Zbl 0359.58004
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