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@article{LJM_2007_26_a10, author = {V. V. Shurygin (Jr.)}, title = {Product preserving bundle functors on multifibered and multifoliate manifolds}, journal = {Lobachevskii journal of mathematics}, pages = {107--123}, publisher = {mathdoc}, volume = {26}, year = {2007}, language = {en}, url = {http://geodesic.mathdoc.fr/item/LJM_2007_26_a10/} }
V. V. Shurygin (Jr.). Product preserving bundle functors on multifibered and multifoliate manifolds. Lobachevskii journal of mathematics, Tome 26 (2007), pp. 107-123. http://geodesic.mathdoc.fr/item/LJM_2007_26_a10/
[1] R. A. Aleksandryan, Eh. A. Mirzahanyan, General Topology, Obshchaya topologiya. Uchebnoe posobie dlya vuzov, Textbook for universities, Moskva, 1979, 336 pp. (Russian) | Zbl
[2] D. J. Eck, “Product-preserving functors on smooth manifolds”, J. Pure Appl. Algebra, 42 (1986), 133–140 | DOI | MR
[3] G. Kainz, P. W. Michor, “Natural transformations in differential geometry”, Czech. Math. J., 37 (1987), 584–607 | MR | Zbl
[4] K. Kodaira, D. C. Spencer, “Multifoliate structures”, Ann. Math., 74:1 (1961), 52–100 | DOI | MR | Zbl
[5] I. Kolář, P. W. Michor, J. Slovák, Natural Operations in Differential Geometry, Springer-Verlag, 1993, 434 pp. | MR
[6] I. Kolář, W. M. Mikulski, “On the fiber product preserving bundle functors”, Diff. Geom. and its Appl., 11 (1999), 105–115 | DOI | MR | Zbl
[7] A. Kriegl, P. W. Michor, “Product preserving functors of infinite dimensional manifolds”, Arch. Math., 32 (1996), 289–306 | MR | Zbl
[8] O. O. Luciano, “Categories of multiplicative functors and Weil's infinitely near points”, Nagoya Math. J., 109 (1988), 67–108 | MR
[9] W. M. Mikulski, “Product preserving bundle functors on fibered manifolds”, Arch. Math., 32 (1996), 307–316 | MR | Zbl
[10] W. M. Mikulski, J. Tomáš, “Product preserving bundle functors on fibered fibered manifolds”, Colloq. Math., 96 (2003), 17–26 | DOI | MR | Zbl
[11] J. Muñoz, J. Rodriguez, F. J. Muriel, “Weil bundles and jet spaces”, Czech. Math. J., 50 (2000), 721–748 | DOI | MR | Zbl
[12] V. V. Shurygin, jr., “Multifoliate structures and manifolds modelled by the limits of projective systems of vector spaces (Multisloeniya i mnogoobraziya modeliruemye predelami obratnykh spektrov vectornykh prostranstv)”, Proceedings of the International Conference “Geometrization of Physics-V”, Kazan, 2001, 146–154 (Russian)
[13] J. Tomáš, “Natural operators transforming projectable vector fields to product preserving bundles”, Rend. Circ. Mat. Palermo, Serie II, 59 (1999), 181–187 | MR | Zbl
[14] A. Weil, “Théorie des points proches sur les variétés différentiables”, Colloque internat. centre nat. rech. sci., 52 (1953), 111–117 | MR | Zbl