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Article

Mikulski, W. M.
Product preserving bundle functors on fibered manifolds. (English). Archivum Mathematicum, vol. 32 (1996), issue 4, pp. 307-316
MSC: 18F15, 58A05 | MR 1441401 | Zbl 0881.58002
Keywords:
product preserving bundle functors; natural transformations
Summary:
The complete description of all product preserving bundle functors on fibered manifolds in terms of natural transformations between product preserving bundle functors on manifolds is given.
References:
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[3] I. Kolář, P. W. Michor, J. Slovák: Natural Operations in Differential Geometry. Springer-Verlag, Berlin 1993. MR 1202431
[4] O.O. Luciano: Categories of multiplicative functors and Weil’s infinitely near points. Nagoya Math. J. 109(1988), 69-89. MR 0931952 | Zbl 0661.58007
[5] A. Morimoto: Prolongations of connections to bundles of infinitely near points. J. Diff. Geo. 11(1976), 479-498. MR 0445422
[6] A. Weil: Théorie des points proches sur les varietes differentielles. Strasbourg 1953, 111-117. MR 0061455
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