Displaying similar documents to “Product preserving functors of infinite-dimensional manifolds”

Properties of product preserving functors

Gancarzewicz, Jacek, Mikulski, Włodzimierz, Pogoda, Zdzisław

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A product preserving functor is a covariant functor from the category of all manifolds and smooth mappings into the category of fibered manifolds satisfying a list of axioms the main of which is product preserving: ( M 1 × M 2 ) = ( M 1 ) × ( M 2 ) . It is known that any product preserving functor is equivalent to a Weil functor T A . Here T A ( M ) is the set of equivalence classes of smooth maps ϕ : n M and ϕ , ϕ ' are equivalent if and only if for every smooth function f : M the formal Taylor series at 0 of f ϕ and f ϕ ' are equal in A = [ [ x 1 , , x n ] ] / 𝔞 . In this...