3 papers
math.AC2007
Local algebra bundles and -jets of mappings
Margherita Barile, Fiorella Barone, Wlodzimerz M. Tulczyjew
We present the functor associated with a local algebra bundle and the differential structure of the double fibre bundle it produces when applied to a differential manifold.
math.CT2006
The category of local algebras and points proches
Margherita Barile, Fiorella Barone, Wlodzimierz M. Tulczyjew
Categorial methods for generating new local algebras from old ones are presented. A direct proof of the differential structure of the prolongations of a manifold is proposed.
math.CA2005
Polarizations and differential calculus in affine spaces
Margherita Barile, Fiorella Barone, Wlodzimierz M. Tulczyjew
Within the framework of mappings between affine spaces, the notion of -th polarization of a function will lead to an intrinsic characterization of polynomial functions. We prove…