Abstract
We first present the theory of those bundle functors which are determined by local algebras in the sense of A. Weil, [Weil, 51]. Then we explain that the Weil functors are closely related to arbitrary product preserving functors Mf → Mf.In particular, every product preserving bundle functor on Mf is a Weil functor and the natural transformations between two such functors are in bijection with the homomorphisms of the local algebras in question.
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© 1993 Springer-Verlag Berlin Heidelberg
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Kolář, I., Slovák, J., Michor, P.W. (1993). Product Preserving Functors. In: Natural Operations in Differential Geometry. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02950-3_8
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DOI: https://doi.org/10.1007/978-3-662-02950-3_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08149-1
Online ISBN: 978-3-662-02950-3
eBook Packages: Springer Book Archive